9w-45=7(w-5)

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Solution for 9w-45=7(w-5) equation:


Simplifying
9w + -45 = 7(w + -5)

Reorder the terms:
-45 + 9w = 7(w + -5)

Reorder the terms:
-45 + 9w = 7(-5 + w)
-45 + 9w = (-5 * 7 + w * 7)
-45 + 9w = (-35 + 7w)

Solving
-45 + 9w = -35 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
-45 + 9w + -7w = -35 + 7w + -7w

Combine like terms: 9w + -7w = 2w
-45 + 2w = -35 + 7w + -7w

Combine like terms: 7w + -7w = 0
-45 + 2w = -35 + 0
-45 + 2w = -35

Add '45' to each side of the equation.
-45 + 45 + 2w = -35 + 45

Combine like terms: -45 + 45 = 0
0 + 2w = -35 + 45
2w = -35 + 45

Combine like terms: -35 + 45 = 10
2w = 10

Divide each side by '2'.
w = 5

Simplifying
w = 5

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