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Simplifying -1(v + 4) + -7v = -1(9v + -8) Reorder the terms: -1(4 + v) + -7v = -1(9v + -8) (4 * -1 + v * -1) + -7v = -1(9v + -8) (-4 + -1v) + -7v = -1(9v + -8) Combine like terms: -1v + -7v = -8v -4 + -8v = -1(9v + -8) Reorder the terms: -4 + -8v = -1(-8 + 9v) -4 + -8v = (-8 * -1 + 9v * -1) -4 + -8v = (8 + -9v) Solving -4 + -8v = 8 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -4 + -8v + 9v = 8 + -9v + 9v Combine like terms: -8v + 9v = 1v -4 + 1v = 8 + -9v + 9v Combine like terms: -9v + 9v = 0 -4 + 1v = 8 + 0 -4 + 1v = 8 Add '4' to each side of the equation. -4 + 4 + 1v = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 1v = 8 + 4 1v = 8 + 4 Combine like terms: 8 + 4 = 12 1v = 12 Divide each side by '1'. v = 12 Simplifying v = 12
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