6-3(w+4)=w-7

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Solution for 6-3(w+4)=w-7 equation:


Simplifying
6 + -3(w + 4) = w + -7

Reorder the terms:
6 + -3(4 + w) = w + -7
6 + (4 * -3 + w * -3) = w + -7
6 + (-12 + -3w) = w + -7

Combine like terms: 6 + -12 = -6
-6 + -3w = w + -7

Reorder the terms:
-6 + -3w = -7 + w

Solving
-6 + -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.
-6 + -3w + -1w = -7 + w + -1w

Combine like terms: -3w + -1w = -4w
-6 + -4w = -7 + w + -1w

Combine like terms: w + -1w = 0
-6 + -4w = -7 + 0
-6 + -4w = -7

Add '6' to each side of the equation.
-6 + 6 + -4w = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -4w = -7 + 6
-4w = -7 + 6

Combine like terms: -7 + 6 = -1
-4w = -1

Divide each side by '-4'.
w = 0.25

Simplifying
w = 0.25

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