7w-15=5(w+1)

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Solution for 7w-15=5(w+1) equation:


Simplifying
7w + -15 = 5(w + 1)

Reorder the terms:
-15 + 7w = 5(w + 1)

Reorder the terms:
-15 + 7w = 5(1 + w)
-15 + 7w = (1 * 5 + w * 5)
-15 + 7w = (5 + 5w)

Solving
-15 + 7w = 5 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
-15 + 7w + -5w = 5 + 5w + -5w

Combine like terms: 7w + -5w = 2w
-15 + 2w = 5 + 5w + -5w

Combine like terms: 5w + -5w = 0
-15 + 2w = 5 + 0
-15 + 2w = 5

Add '15' to each side of the equation.
-15 + 15 + 2w = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 2w = 5 + 15
2w = 5 + 15

Combine like terms: 5 + 15 = 20
2w = 20

Divide each side by '2'.
w = 10

Simplifying
w = 10

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