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Simplifying -10 = -4(5 + v) + -2(1 + -8v) -10 = (5 * -4 + v * -4) + -2(1 + -8v) -10 = (-20 + -4v) + -2(1 + -8v) -10 = -20 + -4v + (1 * -2 + -8v * -2) -10 = -20 + -4v + (-2 + 16v) Reorder the terms: -10 = -20 + -2 + -4v + 16v Combine like terms: -20 + -2 = -22 -10 = -22 + -4v + 16v Combine like terms: -4v + 16v = 12v -10 = -22 + 12v Solving -10 = -22 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -10 + -12v = -22 + 12v + -12v Combine like terms: 12v + -12v = 0 -10 + -12v = -22 + 0 -10 + -12v = -22 Add '10' to each side of the equation. -10 + 10 + -12v = -22 + 10 Combine like terms: -10 + 10 = 0 0 + -12v = -22 + 10 -12v = -22 + 10 Combine like terms: -22 + 10 = -12 -12v = -12 Divide each side by '-12'. v = 1 Simplifying v = 1
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