-3w+7=9w+49

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Solution for -3w+7=9w+49 equation:


Simplifying
-3w + 7 = 9w + 49

Reorder the terms:
7 + -3w = 9w + 49

Reorder the terms:
7 + -3w = 49 + 9w

Solving
7 + -3w = 49 + 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.
7 + -3w + -9w = 49 + 9w + -9w

Combine like terms: -3w + -9w = -12w
7 + -12w = 49 + 9w + -9w

Combine like terms: 9w + -9w = 0
7 + -12w = 49 + 0
7 + -12w = 49

Add '-7' to each side of the equation.
7 + -7 + -12w = 49 + -7

Combine like terms: 7 + -7 = 0
0 + -12w = 49 + -7
-12w = 49 + -7

Combine like terms: 49 + -7 = 42
-12w = 42

Divide each side by '-12'.
w = -3.5

Simplifying
w = -3.5

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