7w-16=9(w-2)

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Solution for 7w-16=9(w-2) equation:


Simplifying
7w + -16 = 9(w + -2)

Reorder the terms:
-16 + 7w = 9(w + -2)

Reorder the terms:
-16 + 7w = 9(-2 + w)
-16 + 7w = (-2 * 9 + w * 9)
-16 + 7w = (-18 + 9w)

Solving
-16 + 7w = -18 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
-16 + 7w + -9w = -18 + 9w + -9w

Combine like terms: 7w + -9w = -2w
-16 + -2w = -18 + 9w + -9w

Combine like terms: 9w + -9w = 0
-16 + -2w = -18 + 0
-16 + -2w = -18

Add '16' to each side of the equation.
-16 + 16 + -2w = -18 + 16

Combine like terms: -16 + 16 = 0
0 + -2w = -18 + 16
-2w = -18 + 16

Combine like terms: -18 + 16 = -2
-2w = -2

Divide each side by '-2'.
w = 1

Simplifying
w = 1

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