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Simplifying v + -5 + 4(3v + 5) = -3(v + 1) Reorder the terms: v + -5 + 4(5 + 3v) = -3(v + 1) v + -5 + (5 * 4 + 3v * 4) = -3(v + 1) v + -5 + (20 + 12v) = -3(v + 1) Reorder the terms: -5 + 20 + v + 12v = -3(v + 1) Combine like terms: -5 + 20 = 15 15 + v + 12v = -3(v + 1) Combine like terms: v + 12v = 13v 15 + 13v = -3(v + 1) Reorder the terms: 15 + 13v = -3(1 + v) 15 + 13v = (1 * -3 + v * -3) 15 + 13v = (-3 + -3v) Solving 15 + 13v = -3 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 15 + 13v + 3v = -3 + -3v + 3v Combine like terms: 13v + 3v = 16v 15 + 16v = -3 + -3v + 3v Combine like terms: -3v + 3v = 0 15 + 16v = -3 + 0 15 + 16v = -3 Add '-15' to each side of the equation. 15 + -15 + 16v = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 16v = -3 + -15 16v = -3 + -15 Combine like terms: -3 + -15 = -18 16v = -18 Divide each side by '16'. v = -1.125 Simplifying v = -1.125
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