-7(w-4)+3w-27=4

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Solution for -7(w-4)+3w-27=4 equation: 


Simplifying
-7(w + -4) + 3w + -27 = 4

Reorder the terms:
-7(-4 + w) + 3w + -27 = 4
(-4 * -7 + w * -7) + 3w + -27 = 4
(28 + -7w) + 3w + -27 = 4

Reorder the terms:
28 + -27 + -7w + 3w = 4

Combine like terms: 28 + -27 = 1
1 + -7w + 3w = 4

Combine like terms: -7w + 3w = -4w
1 + -4w = 4

Solving
1 + -4w = 4

Solving for variable 'w'.

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

Add '-1' to each side of the equation.
1 + -1 + -4w = 4 + -1

Combine like terms: 1 + -1 = 0
0 + -4w = 4 + -1
-4w = 4 + -1

Combine like terms: 4 + -1 = 3
-4w = 3

Divide each side by '-4'.
w = -0.75

Simplifying
w = -0.75

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