14+5w=3(-w-7)-5(2w-3)

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Solution for 14+5w=3(-w-7)-5(2w-3) equation:


Simplifying
14 + 5w = 3(-1w + -7) + -5(2w + -3)

Reorder the terms:
14 + 5w = 3(-7 + -1w) + -5(2w + -3)
14 + 5w = (-7 * 3 + -1w * 3) + -5(2w + -3)
14 + 5w = (-21 + -3w) + -5(2w + -3)

Reorder the terms:
14 + 5w = -21 + -3w + -5(-3 + 2w)
14 + 5w = -21 + -3w + (-3 * -5 + 2w * -5)
14 + 5w = -21 + -3w + (15 + -10w)

Reorder the terms:
14 + 5w = -21 + 15 + -3w + -10w

Combine like terms: -21 + 15 = -6
14 + 5w = -6 + -3w + -10w

Combine like terms: -3w + -10w = -13w
14 + 5w = -6 + -13w

Solving
14 + 5w = -6 + -13w

Solving for variable 'w'.

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

Add '13w' to each side of the equation.
14 + 5w + 13w = -6 + -13w + 13w

Combine like terms: 5w + 13w = 18w
14 + 18w = -6 + -13w + 13w

Combine like terms: -13w + 13w = 0
14 + 18w = -6 + 0
14 + 18w = -6

Add '-14' to each side of the equation.
14 + -14 + 18w = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 18w = -6 + -14
18w = -6 + -14

Combine like terms: -6 + -14 = -20
18w = -20

Divide each side by '18'.
w = -1.111111111

Simplifying
w = -1.111111111

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