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Simplifying -4(v + 1) = -8(v + -9) Reorder the terms: -4(1 + v) = -8(v + -9) (1 * -4 + v * -4) = -8(v + -9) (-4 + -4v) = -8(v + -9) Reorder the terms: -4 + -4v = -8(-9 + v) -4 + -4v = (-9 * -8 + v * -8) -4 + -4v = (72 + -8v) Solving -4 + -4v = 72 + -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. -4 + -4v + 8v = 72 + -8v + 8v Combine like terms: -4v + 8v = 4v -4 + 4v = 72 + -8v + 8v Combine like terms: -8v + 8v = 0 -4 + 4v = 72 + 0 -4 + 4v = 72 Add '4' to each side of the equation. -4 + 4 + 4v = 72 + 4 Combine like terms: -4 + 4 = 0 0 + 4v = 72 + 4 4v = 72 + 4 Combine like terms: 72 + 4 = 76 4v = 76 Divide each side by '4'. v = 19 Simplifying v = 19
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