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Simplifying 9v + 3 + -2(-5v + -4) = 7(v + -1) Reorder the terms: 9v + 3 + -2(-4 + -5v) = 7(v + -1) 9v + 3 + (-4 * -2 + -5v * -2) = 7(v + -1) 9v + 3 + (8 + 10v) = 7(v + -1) Reorder the terms: 3 + 8 + 9v + 10v = 7(v + -1) Combine like terms: 3 + 8 = 11 11 + 9v + 10v = 7(v + -1) Combine like terms: 9v + 10v = 19v 11 + 19v = 7(v + -1) Reorder the terms: 11 + 19v = 7(-1 + v) 11 + 19v = (-1 * 7 + v * 7) 11 + 19v = (-7 + 7v) Solving 11 + 19v = -7 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 11 + 19v + -7v = -7 + 7v + -7v Combine like terms: 19v + -7v = 12v 11 + 12v = -7 + 7v + -7v Combine like terms: 7v + -7v = 0 11 + 12v = -7 + 0 11 + 12v = -7 Add '-11' to each side of the equation. 11 + -11 + 12v = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 12v = -7 + -11 12v = -7 + -11 Combine like terms: -7 + -11 = -18 12v = -18 Divide each side by '12'. v = -1.5 Simplifying v = -1.5
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