7=-7w+5(w+3)

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Solution for 7=-7w+5(w+3) equation:


Simplifying
7 = -7w + 5(w + 3)

Reorder the terms:
7 = -7w + 5(3 + w)
7 = -7w + (3 * 5 + w * 5)
7 = -7w + (15 + 5w)

Reorder the terms:
7 = 15 + -7w + 5w

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

Solving
7 = 15 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
7 + 2w = 15 + -2w + 2w

Combine like terms: -2w + 2w = 0
7 + 2w = 15 + 0
7 + 2w = 15

Add '-7' to each side of the equation.
7 + -7 + 2w = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 2w = 15 + -7
2w = 15 + -7

Combine like terms: 15 + -7 = 8
2w = 8

Divide each side by '2'.
w = 4

Simplifying
w = 4

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