3(w-8)=7w-18-6w

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Solution for 3(w-8)=7w-18-6w equation:


Simplifying
3(w + -8) = 7w + -18 + -6w

Reorder the terms:
3(-8 + w) = 7w + -18 + -6w
(-8 * 3 + w * 3) = 7w + -18 + -6w
(-24 + 3w) = 7w + -18 + -6w

Reorder the terms:
-24 + 3w = -18 + 7w + -6w

Combine like terms: 7w + -6w = 1w
-24 + 3w = -18 + 1w

Solving
-24 + 3w = -18 + 1w

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.
-24 + 3w + -1w = -18 + 1w + -1w

Combine like terms: 3w + -1w = 2w
-24 + 2w = -18 + 1w + -1w

Combine like terms: 1w + -1w = 0
-24 + 2w = -18 + 0
-24 + 2w = -18

Add '24' to each side of the equation.
-24 + 24 + 2w = -18 + 24

Combine like terms: -24 + 24 = 0
0 + 2w = -18 + 24
2w = -18 + 24

Combine like terms: -18 + 24 = 6
2w = 6

Divide each side by '2'.
w = 3

Simplifying
w = 3

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