10-3(w+4)=w-7

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Solution for 10-3(w+4)=w-7 equation: 


Simplifying
10 + -3(w + 4) = w + -7

Reorder the terms:
10 + -3(4 + w) = w + -7
10 + (4 * -3 + w * -3) = w + -7
10 + (-12 + -3w) = w + -7

Combine like terms: 10 + -12 = -2
-2 + -3w = w + -7

Reorder the terms:
-2 + -3w = -7 + w

Solving
-2 + -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.
-2 + -3w + -1w = -7 + w + -1w

Combine like terms: -3w + -1w = -4w
-2 + -4w = -7 + w + -1w

Combine like terms: w + -1w = 0
-2 + -4w = -7 + 0
-2 + -4w = -7

Add '2' to each side of the equation.
-2 + 2 + -4w = -7 + 2

Combine like terms: -2 + 2 = 0
0 + -4w = -7 + 2
-4w = -7 + 2

Combine like terms: -7 + 2 = -5
-4w = -5

Divide each side by '-4'.
w = 1.25

Simplifying
w = 1.25

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