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

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


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

Reorder the terms:
6(-5 + w) + -3w = 12 + w
(-5 * 6 + w * 6) + -3w = 12 + w
(-30 + 6w) + -3w = 12 + w

Combine like terms: 6w + -3w = 3w
-30 + 3w = 12 + w

Solving
-30 + 3w = 12 + 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.
-30 + 3w + -1w = 12 + w + -1w

Combine like terms: 3w + -1w = 2w
-30 + 2w = 12 + w + -1w

Combine like terms: w + -1w = 0
-30 + 2w = 12 + 0
-30 + 2w = 12

Add '30' to each side of the equation.
-30 + 30 + 2w = 12 + 30

Combine like terms: -30 + 30 = 0
0 + 2w = 12 + 30
2w = 12 + 30

Combine like terms: 12 + 30 = 42
2w = 42

Divide each side by '2'.
w = 21

Simplifying
w = 21

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