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Simplifying 3v + 1 + -2(-5v + -1) = 3(v + -4) Reorder the terms: 3v + 1 + -2(-1 + -5v) = 3(v + -4) 3v + 1 + (-1 * -2 + -5v * -2) = 3(v + -4) 3v + 1 + (2 + 10v) = 3(v + -4) Reorder the terms: 1 + 2 + 3v + 10v = 3(v + -4) Combine like terms: 1 + 2 = 3 3 + 3v + 10v = 3(v + -4) Combine like terms: 3v + 10v = 13v 3 + 13v = 3(v + -4) Reorder the terms: 3 + 13v = 3(-4 + v) 3 + 13v = (-4 * 3 + v * 3) 3 + 13v = (-12 + 3v) Solving 3 + 13v = -12 + 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. 3 + 13v + -3v = -12 + 3v + -3v Combine like terms: 13v + -3v = 10v 3 + 10v = -12 + 3v + -3v Combine like terms: 3v + -3v = 0 3 + 10v = -12 + 0 3 + 10v = -12 Add '-3' to each side of the equation. 3 + -3 + 10v = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 10v = -12 + -3 10v = -12 + -3 Combine like terms: -12 + -3 = -15 10v = -15 Divide each side by '10'. v = -1.5 Simplifying v = -1.5
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