3(-w-6)=2(2w+8)+1

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Solution for 3(-w-6)=2(2w+8)+1 equation: 


Simplifying
3(-1w + -6) = 2(2w + 8) + 1

Reorder the terms:
3(-6 + -1w) = 2(2w + 8) + 1
(-6 * 3 + -1w * 3) = 2(2w + 8) + 1
(-18 + -3w) = 2(2w + 8) + 1

Reorder the terms:
-18 + -3w = 2(8 + 2w) + 1
-18 + -3w = (8 * 2 + 2w * 2) + 1
-18 + -3w = (16 + 4w) + 1

Reorder the terms:
-18 + -3w = 16 + 1 + 4w

Combine like terms: 16 + 1 = 17
-18 + -3w = 17 + 4w

Solving
-18 + -3w = 17 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-18 + -3w + -4w = 17 + 4w + -4w

Combine like terms: -3w + -4w = -7w
-18 + -7w = 17 + 4w + -4w

Combine like terms: 4w + -4w = 0
-18 + -7w = 17 + 0
-18 + -7w = 17

Add '18' to each side of the equation.
-18 + 18 + -7w = 17 + 18

Combine like terms: -18 + 18 = 0
0 + -7w = 17 + 18
-7w = 17 + 18

Combine like terms: 17 + 18 = 35
-7w = 35

Divide each side by '-7'.
w = -5

Simplifying
w = -5

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