4[3-(2w+5)]-14=6(6-w)

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Solution for 4[3-(2w+5)]-14=6(6-w) equation:


Simplifying
4[3 + -1(2w + 5)] + -14 = 6(6 + -1w)

Reorder the terms:
4[3 + -1(5 + 2w)] + -14 = 6(6 + -1w)
4[3 + (5 * -1 + 2w * -1)] + -14 = 6(6 + -1w)
4[3 + (-5 + -2w)] + -14 = 6(6 + -1w)

Combine like terms: 3 + -5 = -2
4[-2 + -2w] + -14 = 6(6 + -1w)
[-2 * 4 + -2w * 4] + -14 = 6(6 + -1w)
[-8 + -8w] + -14 = 6(6 + -1w)

Reorder the terms:
-8 + -14 + -8w = 6(6 + -1w)

Combine like terms: -8 + -14 = -22
-22 + -8w = 6(6 + -1w)
-22 + -8w = (6 * 6 + -1w * 6)
-22 + -8w = (36 + -6w)

Solving
-22 + -8w = 36 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
-22 + -8w + 6w = 36 + -6w + 6w

Combine like terms: -8w + 6w = -2w
-22 + -2w = 36 + -6w + 6w

Combine like terms: -6w + 6w = 0
-22 + -2w = 36 + 0
-22 + -2w = 36

Add '22' to each side of the equation.
-22 + 22 + -2w = 36 + 22

Combine like terms: -22 + 22 = 0
0 + -2w = 36 + 22
-2w = 36 + 22

Combine like terms: 36 + 22 = 58
-2w = 58

Divide each side by '-2'.
w = -29

Simplifying
w = -29

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