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Simplifying -4(8v + -12) = -9(4v + -1) + -9v Reorder the terms: -4(-12 + 8v) = -9(4v + -1) + -9v (-12 * -4 + 8v * -4) = -9(4v + -1) + -9v (48 + -32v) = -9(4v + -1) + -9v Reorder the terms: 48 + -32v = -9(-1 + 4v) + -9v 48 + -32v = (-1 * -9 + 4v * -9) + -9v 48 + -32v = (9 + -36v) + -9v Combine like terms: -36v + -9v = -45v 48 + -32v = 9 + -45v Solving 48 + -32v = 9 + -45v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '45v' to each side of the equation. 48 + -32v + 45v = 9 + -45v + 45v Combine like terms: -32v + 45v = 13v 48 + 13v = 9 + -45v + 45v Combine like terms: -45v + 45v = 0 48 + 13v = 9 + 0 48 + 13v = 9 Add '-48' to each side of the equation. 48 + -48 + 13v = 9 + -48 Combine like terms: 48 + -48 = 0 0 + 13v = 9 + -48 13v = 9 + -48 Combine like terms: 9 + -48 = -39 13v = -39 Divide each side by '13'. v = -3 Simplifying v = -3
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