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Help with this question 3m-7<5+6m​

User Andrey Panasyuk
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2 Answers

16 votes
16 votes

Hello I think, I could help with your question.

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1. Simplifying

3m + -7 = 5 + 6m

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2. Reorder the terms

-7 + 3m = 5 + 6m

────────────

3. Solving

-7 + 3m = 5 + 6m

────────────

4. Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right.

Add '-6m' to each side of the equation.

-7 + 3m + -6m = 5 + 6m + -6m

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5. Combine like terms: 3m + -6m = -3m

-7 + -3m = 5 + 6m + -6m

───────────────────────────

6. Combine like terms: 6m + -6m = 0

-7 + -3m = 5 + 0

-7 + -3m = 5

────────────────────────

7. Add '7' to each side of the equation.

-7 + 7 + -3m = 5 + 7

────────────────────────

8. Combine like terms: -7 + 7 = 0

0 + -3m = 5 + 7

-3m = 5 + 7

────────────────────────

9. Combine like terms: 5 + 7 = 12

-3m = 12

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10. Divide each side by '-3'.

m = -4

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11.Simplifying

m = -4

♡⃗ ! ˎˊ˗

User Cristianoms
by
2.8k points
23 votes
23 votes

Answer:

-4

Step-by-step explanation:

  • Simplify

3m + -7 = 5 + 6m

  • Reorder the terms:

-7 + 3m = 5 + 6m

  • Solve

-7 + 3m = 5 + 6m

  • Solve for variable 'm'.

(Move all terms containing m to the left, all other terms to the right.)

  • Add '-6m' to each side of the equation.

-7 + 3m + -6m = 5 + 6m + -6m

  • Combine like terms: 3m + -6m = -3m

-7 + -3m = 5 + 6m + -6m

  • Combine like terms: 6m + -6m = 0

-7 + -3m = 5 + 0

-7 + -3m = 5

  • Add '7' to each side of the equation.

-7 + 7 + -3m = 5 + 7

  • Combine like terms: -7 + 7 = 0

0 + -3m = 5 + 7

-3m = 5 + 7

  • Combine like terms: 5 + 7 = 12

-3m = 12

  • Divide each side by '-3'.

m = -4

  • Simplify

m = -4

User Cosmin Cojocar
by
2.9k points