4(w-1)-3=(-2w+5)-8w

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Solution for 4(w-1)-3=(-2w+5)-8w equation:


Simplifying
4(w + -1) + -3 = (-2w + 5) + -8w

Reorder the terms:
4(-1 + w) + -3 = (-2w + 5) + -8w
(-1 * 4 + w * 4) + -3 = (-2w + 5) + -8w
(-4 + 4w) + -3 = (-2w + 5) + -8w

Reorder the terms:
-4 + -3 + 4w = (-2w + 5) + -8w

Combine like terms: -4 + -3 = -7
-7 + 4w = (-2w + 5) + -8w

Reorder the terms:
-7 + 4w = (5 + -2w) + -8w

Remove parenthesis around (5 + -2w)
-7 + 4w = 5 + -2w + -8w

Combine like terms: -2w + -8w = -10w
-7 + 4w = 5 + -10w

Solving
-7 + 4w = 5 + -10w

Solving for variable 'w'.

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

Add '10w' to each side of the equation.
-7 + 4w + 10w = 5 + -10w + 10w

Combine like terms: 4w + 10w = 14w
-7 + 14w = 5 + -10w + 10w

Combine like terms: -10w + 10w = 0
-7 + 14w = 5 + 0
-7 + 14w = 5

Add '7' to each side of the equation.
-7 + 7 + 14w = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 14w = 5 + 7
14w = 5 + 7

Combine like terms: 5 + 7 = 12
14w = 12

Divide each side by '14'.
w = 0.8571428571

Simplifying
w = 0.8571428571

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