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Simplifying -12 + -10(1 + -3v) = 12 + 8(10 + -1v) -12 + (1 * -10 + -3v * -10) = 12 + 8(10 + -1v) -12 + (-10 + 30v) = 12 + 8(10 + -1v) Combine like terms: -12 + -10 = -22 -22 + 30v = 12 + 8(10 + -1v) -22 + 30v = 12 + (10 * 8 + -1v * 8) -22 + 30v = 12 + (80 + -8v) Combine like terms: 12 + 80 = 92 -22 + 30v = 92 + -8v Solving -22 + 30v = 92 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -22 + 30v + 8v = 92 + -8v + 8v Combine like terms: 30v + 8v = 38v -22 + 38v = 92 + -8v + 8v Combine like terms: -8v + 8v = 0 -22 + 38v = 92 + 0 -22 + 38v = 92 Add '22' to each side of the equation. -22 + 22 + 38v = 92 + 22 Combine like terms: -22 + 22 = 0 0 + 38v = 92 + 22 38v = 92 + 22 Combine like terms: 92 + 22 = 114 38v = 114 Divide each side by '38'. v = 3 Simplifying v = 3
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