8(w-3)=4w+9w-14

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Solution for 8(w-3)=4w+9w-14 equation:


Simplifying
8(w + -3) = 4w + 9w + -14

Reorder the terms:
8(-3 + w) = 4w + 9w + -14
(-3 * 8 + w * 8) = 4w + 9w + -14
(-24 + 8w) = 4w + 9w + -14

Reorder the terms:
-24 + 8w = -14 + 4w + 9w

Combine like terms: 4w + 9w = 13w
-24 + 8w = -14 + 13w

Solving
-24 + 8w = -14 + 13w

Solving for variable 'w'.

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

Add '-13w' to each side of the equation.
-24 + 8w + -13w = -14 + 13w + -13w

Combine like terms: 8w + -13w = -5w
-24 + -5w = -14 + 13w + -13w

Combine like terms: 13w + -13w = 0
-24 + -5w = -14 + 0
-24 + -5w = -14

Add '24' to each side of the equation.
-24 + 24 + -5w = -14 + 24

Combine like terms: -24 + 24 = 0
0 + -5w = -14 + 24
-5w = -14 + 24

Combine like terms: -14 + 24 = 10
-5w = 10

Divide each side by '-5'.
w = -2

Simplifying
w = -2

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