4(w-4)-7w=-34

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Solution for 4(w-4)-7w=-34 equation: 


Simplifying
4(w + -4) + -7w = -34

Reorder the terms:
4(-4 + w) + -7w = -34
(-4 * 4 + w * 4) + -7w = -34
(-16 + 4w) + -7w = -34

Combine like terms: 4w + -7w = -3w
-16 + -3w = -34

Solving
-16 + -3w = -34

Solving for variable 'w'.

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

Add '16' to each side of the equation.
-16 + 16 + -3w = -34 + 16

Combine like terms: -16 + 16 = 0
0 + -3w = -34 + 16
-3w = -34 + 16

Combine like terms: -34 + 16 = -18
-3w = -18

Divide each side by '-3'.
w = 6

Simplifying
w = 6

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