8w-32=6(w-3)

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Solution for 8w-32=6(w-3) equation:


Simplifying
8w + -32 = 6(w + -3)

Reorder the terms:
-32 + 8w = 6(w + -3)

Reorder the terms:
-32 + 8w = 6(-3 + w)
-32 + 8w = (-3 * 6 + w * 6)
-32 + 8w = (-18 + 6w)

Solving
-32 + 8w = -18 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-32 + 8w + -6w = -18 + 6w + -6w

Combine like terms: 8w + -6w = 2w
-32 + 2w = -18 + 6w + -6w

Combine like terms: 6w + -6w = 0
-32 + 2w = -18 + 0
-32 + 2w = -18

Add '32' to each side of the equation.
-32 + 32 + 2w = -18 + 32

Combine like terms: -32 + 32 = 0
0 + 2w = -18 + 32
2w = -18 + 32

Combine like terms: -18 + 32 = 14
2w = 14

Divide each side by '2'.
w = 7

Simplifying
w = 7

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