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Simplifying -8(1 + -2v) = -12 + 10(v + -11) (1 * -8 + -2v * -8) = -12 + 10(v + -11) (-8 + 16v) = -12 + 10(v + -11) Reorder the terms: -8 + 16v = -12 + 10(-11 + v) -8 + 16v = -12 + (-11 * 10 + v * 10) -8 + 16v = -12 + (-110 + 10v) Combine like terms: -12 + -110 = -122 -8 + 16v = -122 + 10v Solving -8 + 16v = -122 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -8 + 16v + -10v = -122 + 10v + -10v Combine like terms: 16v + -10v = 6v -8 + 6v = -122 + 10v + -10v Combine like terms: 10v + -10v = 0 -8 + 6v = -122 + 0 -8 + 6v = -122 Add '8' to each side of the equation. -8 + 8 + 6v = -122 + 8 Combine like terms: -8 + 8 = 0 0 + 6v = -122 + 8 6v = -122 + 8 Combine like terms: -122 + 8 = -114 6v = -114 Divide each side by '6'. v = -19 Simplifying v = -19
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