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Simplifying
-3w2 + 51 = -96
Reorder the terms:
51 + -3w2 = -96
Solving
51 + -3w2 = -96
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '-51' to each side of the equation.
51 + -51 + -3w2 = -96 + -51
Combine like terms: 51 + -51 = 0
0 + -3w2 = -96 + -51
-3w2 = -96 + -51
Combine like terms: -96 + -51 = -147
-3w2 = -147
Divide each side by '-3'.
w2 = 49
Simplifying
w2 = 49
Take the square root of each side:
w = {-7, 7}
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