-6-9(3w+20)=3(-12w-5)

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Solution for -6-9(3w+20)=3(-12w-5) equation:


Simplifying
-6 + -9(3w + 20) = 3(-12w + -5)

Reorder the terms:
-6 + -9(20 + 3w) = 3(-12w + -5)
-6 + (20 * -9 + 3w * -9) = 3(-12w + -5)
-6 + (-180 + -27w) = 3(-12w + -5)

Combine like terms: -6 + -180 = -186
-186 + -27w = 3(-12w + -5)

Reorder the terms:
-186 + -27w = 3(-5 + -12w)
-186 + -27w = (-5 * 3 + -12w * 3)
-186 + -27w = (-15 + -36w)

Solving
-186 + -27w = -15 + -36w

Solving for variable 'w'.

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

Add '36w' to each side of the equation.
-186 + -27w + 36w = -15 + -36w + 36w

Combine like terms: -27w + 36w = 9w
-186 + 9w = -15 + -36w + 36w

Combine like terms: -36w + 36w = 0
-186 + 9w = -15 + 0
-186 + 9w = -15

Add '186' to each side of the equation.
-186 + 186 + 9w = -15 + 186

Combine like terms: -186 + 186 = 0
0 + 9w = -15 + 186
9w = -15 + 186

Combine like terms: -15 + 186 = 171
9w = 171

Divide each side by '9'.
w = 19

Simplifying
w = 19

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