5-3(w-4)=w-7

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Solution for 5-3(w-4)=w-7 equation:


Simplifying
5 + -3(w + -4) = w + -7

Reorder the terms:
5 + -3(-4 + w) = w + -7
5 + (-4 * -3 + w * -3) = w + -7
5 + (12 + -3w) = w + -7

Combine like terms: 5 + 12 = 17
17 + -3w = w + -7

Reorder the terms:
17 + -3w = -7 + w

Solving
17 + -3w = -7 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
17 + -3w + -1w = -7 + w + -1w

Combine like terms: -3w + -1w = -4w
17 + -4w = -7 + w + -1w

Combine like terms: w + -1w = 0
17 + -4w = -7 + 0
17 + -4w = -7

Add '-17' to each side of the equation.
17 + -17 + -4w = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -4w = -7 + -17
-4w = -7 + -17

Combine like terms: -7 + -17 = -24
-4w = -24

Divide each side by '-4'.
w = 6

Simplifying
w = 6

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