3=5(w+3)-7w

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


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

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

Combine like terms: 5w + -7w = -2w
3 = 15 + -2w

Solving
3 = 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.
3 + 2w = 15 + -2w + 2w

Combine like terms: -2w + 2w = 0
3 + 2w = 15 + 0
3 + 2w = 15

Add '-3' to each side of the equation.
3 + -3 + 2w = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 2w = 15 + -3
2w = 15 + -3

Combine like terms: 15 + -3 = 12
2w = 12

Divide each side by '2'.
w = 6

Simplifying
w = 6

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