3(w-1)=3w+6-3(-4w-3)

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Solution for 3(w-1)=3w+6-3(-4w-3) equation:


Simplifying
3(w + -1) = 3w + 6 + -3(-4w + -3)

Reorder the terms:
3(-1 + w) = 3w + 6 + -3(-4w + -3)
(-1 * 3 + w * 3) = 3w + 6 + -3(-4w + -3)
(-3 + 3w) = 3w + 6 + -3(-4w + -3)

Reorder the terms:
-3 + 3w = 3w + 6 + -3(-3 + -4w)
-3 + 3w = 3w + 6 + (-3 * -3 + -4w * -3)
-3 + 3w = 3w + 6 + (9 + 12w)

Reorder the terms:
-3 + 3w = 6 + 9 + 3w + 12w

Combine like terms: 6 + 9 = 15
-3 + 3w = 15 + 3w + 12w

Combine like terms: 3w + 12w = 15w
-3 + 3w = 15 + 15w

Solving
-3 + 3w = 15 + 15w

Solving for variable 'w'.

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

Add '-15w' to each side of the equation.
-3 + 3w + -15w = 15 + 15w + -15w

Combine like terms: 3w + -15w = -12w
-3 + -12w = 15 + 15w + -15w

Combine like terms: 15w + -15w = 0
-3 + -12w = 15 + 0
-3 + -12w = 15

Add '3' to each side of the equation.
-3 + 3 + -12w = 15 + 3

Combine like terms: -3 + 3 = 0
0 + -12w = 15 + 3
-12w = 15 + 3

Combine like terms: 15 + 3 = 18
-12w = 18

Divide each side by '-12'.
w = -1.5

Simplifying
w = -1.5

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