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What is 7p-(3p+4)=2(2p-1)+10

What is 7p-(3p+4)=2(2p-1)+10-example-1
User Aelguindy
by
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2 Answers

2 votes

Answer:

no solution

Step-by-step explanation:


7p - ( 3p + 4 ) = 2 ( 2p - 1 ) + 10

7p - 3p - 4 = 4p - 2 + 10

4p - 4 = 4p + 8

-4 = 8


User Joseph Mansfield
by
6.4k points
6 votes

Answer:

p=1

Explanation:

simplify:7p + -1(3p + -4) = -2(2p + -1) + 10

Reorder the terms:

7p + -1(-4 + 3p) = -2(2p + -1) + 10

7p + (-4 * -1 + 3p * -1) = -2(2p + -1) + 10

7p + (4 + -3p) = -2(2p + -1) + 10

Reorder the terms:

4 + 7p + -3p = -2(2p + -1) + 10Combine like terms: 2 + 10 = 12

4 + 4p = 12 + -4p

Solving

4 + 4p = 12 + -4p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '4p' to each side of the equation.

4 + 4p + 4p = 12 + -4p + 4p

Combine like terms: 4p + 4p = 8p

4 + 8p = 12 + -4p + 4p

Combine like terms: -4p + 4p = 0

4 + 8p = 12 + 0

4 + 8p = 12

Add '-4' to each side of the equation.

4 + -4 + 8p = 12 + -4

Combine like terms: 4 + -4 = 0

0 + 8p = 12 + -4

8p = 12 + -4

Combine like terms: 12 + -4 = 8

8p = 8

Divide each side by '8'.

p = 1

Simplifying

p = 1

User JKG
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6.1k points