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Simplifying
9(8 + -6v2) + -12v2 + 20 = 0
(8 * 9 + -6v2 * 9) + -12v2 + 20 = 0
(72 + -54v2) + -12v2 + 20 = 0
Reorder the terms:
72 + 20 + -54v2 + -12v2 = 0
Combine like terms: 72 + 20 = 92
92 + -54v2 + -12v2 = 0
Combine like terms: -54v2 + -12v2 = -66v2
92 + -66v2 = 0
Solving
92 + -66v2 = 0
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-92' to each side of the equation.
92 + -92 + -66v2 = 0 + -92
Combine like terms: 92 + -92 = 0
0 + -66v2 = 0 + -92
-66v2 = 0 + -92
Combine like terms: 0 + -92 = -92
-66v2 = -92
Divide each side by '-66'.
v2 = 1.393939394
Simplifying
v2 = 1.393939394
Take the square root of each side:
v = {-1.180652105, 1.180652105}
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