.5w+7=2w-2

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Solution for .5w+7=2w-2 equation:


Simplifying
0.5w + 7 = 2w + -2

Reorder the terms:
7 + 0.5w = 2w + -2

Reorder the terms:
7 + 0.5w = -2 + 2w

Solving
7 + 0.5w = -2 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
7 + 0.5w + -2w = -2 + 2w + -2w

Combine like terms: 0.5w + -2w = -1.5w
7 + -1.5w = -2 + 2w + -2w

Combine like terms: 2w + -2w = 0
7 + -1.5w = -2 + 0
7 + -1.5w = -2

Add '-7' to each side of the equation.
7 + -7 + -1.5w = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -1.5w = -2 + -7
-1.5w = -2 + -7

Combine like terms: -2 + -7 = -9
-1.5w = -9

Divide each side by '-1.5'.
w = 6

Simplifying
w = 6

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