-2w+44=7(w+5)

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Solution for -2w+44=7(w+5) equation:


Simplifying
-2w + 44 = 7(w + 5)

Reorder the terms:
44 + -2w = 7(w + 5)

Reorder the terms:
44 + -2w = 7(5 + w)
44 + -2w = (5 * 7 + w * 7)
44 + -2w = (35 + 7w)

Solving
44 + -2w = 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.
44 + -2w + -7w = 35 + 7w + -7w

Combine like terms: -2w + -7w = -9w
44 + -9w = 35 + 7w + -7w

Combine like terms: 7w + -7w = 0
44 + -9w = 35 + 0
44 + -9w = 35

Add '-44' to each side of the equation.
44 + -44 + -9w = 35 + -44

Combine like terms: 44 + -44 = 0
0 + -9w = 35 + -44
-9w = 35 + -44

Combine like terms: 35 + -44 = -9
-9w = -9

Divide each side by '-9'.
w = 1

Simplifying
w = 1

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