7w-2=-5w-14

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Solution for 7w-2=-5w-14 equation:


Simplifying
7w + -2 = -5w + -14

Reorder the terms:
-2 + 7w = -5w + -14

Reorder the terms:
-2 + 7w = -14 + -5w

Solving
-2 + 7w = -14 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
-2 + 7w + 5w = -14 + -5w + 5w

Combine like terms: 7w + 5w = 12w
-2 + 12w = -14 + -5w + 5w

Combine like terms: -5w + 5w = 0
-2 + 12w = -14 + 0
-2 + 12w = -14

Add '2' to each side of the equation.
-2 + 2 + 12w = -14 + 2

Combine like terms: -2 + 2 = 0
0 + 12w = -14 + 2
12w = -14 + 2

Combine like terms: -14 + 2 = -12
12w = -12

Divide each side by '12'.
w = -1

Simplifying
w = -1

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