Question

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Answer 1

1. x = 7

2. t = 10

3. w = 27

4. b = 0

Explanation:

1.

Step 1: Remove parentheses

Step 2: Move the terms

Step 3: Collect like terms and calculate

Step 4: Divide both sides

2.

Step 1: Remove the parentheses

Step 2: Move the terms

Step 3: Collect like terms and calculate

Step 4: Divide both sides

3.

Step 1: Remove parentheses

Step 2: Move the terms

Step 3: Collect like terms and calculate

4.

Step 1: Remove the parentheses

Step 2: Cancel equal terms

Step 3: Move the variable to the left

Step 4: Cancel out like terms

Step 5: Divide both sides

Answer 2

1. x = 7
2. t = 10
3. w = 27
4. b = 0

Explanation:

1. 5(x+2) = 3(x+8)

5x + 10 = 3x + 24

2x + 10 = 24

2x = 14

x=7

2. 6(t-1) = 9(t-4)

6t - 6 = 9t - 36

-3t - 6 = -36

-3t = -30

t = 10

3. 4(w-6) = 3(w+1)

4w - 24 = 3w + 3

w - 24 = 3

w = 27

4. 10b - 45 = 3(b-15)

10b - 45 = 3b - 45

7b - 45 = -45

7b = 0

b = 0