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Simplifying -6(v + -2) + 3 = 9 + -1(v + 4) Reorder the terms: -6(-2 + v) + 3 = 9 + -1(v + 4) (-2 * -6 + v * -6) + 3 = 9 + -1(v + 4) (12 + -6v) + 3 = 9 + -1(v + 4) Reorder the terms: 12 + 3 + -6v = 9 + -1(v + 4) Combine like terms: 12 + 3 = 15 15 + -6v = 9 + -1(v + 4) Reorder the terms: 15 + -6v = 9 + -1(4 + v) 15 + -6v = 9 + (4 * -1 + v * -1) 15 + -6v = 9 + (-4 + -1v) Combine like terms: 9 + -4 = 5 15 + -6v = 5 + -1v Solving 15 + -6v = 5 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 15 + -6v + v = 5 + -1v + v Combine like terms: -6v + v = -5v 15 + -5v = 5 + -1v + v Combine like terms: -1v + v = 0 15 + -5v = 5 + 0 15 + -5v = 5 Add '-15' to each side of the equation. 15 + -15 + -5v = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -5v = 5 + -15 -5v = 5 + -15 Combine like terms: 5 + -15 = -10 -5v = -10 Divide each side by '-5'. v = 2 Simplifying v = 2
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