5-3(w+4)=w-9

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Solution for 5-3(w+4)=w-9 equation:


Simplifying
5 + -3(w + 4) = w + -9

Reorder the terms:
5 + -3(4 + w) = w + -9
5 + (4 * -3 + w * -3) = w + -9
5 + (-12 + -3w) = w + -9

Combine like terms: 5 + -12 = -7
-7 + -3w = w + -9

Reorder the terms:
-7 + -3w = -9 + w

Solving
-7 + -3w = -9 + 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.
-7 + -3w + -1w = -9 + w + -1w

Combine like terms: -3w + -1w = -4w
-7 + -4w = -9 + w + -1w

Combine like terms: w + -1w = 0
-7 + -4w = -9 + 0
-7 + -4w = -9

Add '7' to each side of the equation.
-7 + 7 + -4w = -9 + 7

Combine like terms: -7 + 7 = 0
0 + -4w = -9 + 7
-4w = -9 + 7

Combine like terms: -9 + 7 = -2
-4w = -2

Divide each side by '-4'.
w = 0.5

Simplifying
w = 0.5

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