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Simplifying 1 + -8v + 1 + -5v = -2(-4 + 2v) + -3(v + -6) Reorder the terms: 1 + 1 + -8v + -5v = -2(-4 + 2v) + -3(v + -6) Combine like terms: 1 + 1 = 2 2 + -8v + -5v = -2(-4 + 2v) + -3(v + -6) Combine like terms: -8v + -5v = -13v 2 + -13v = -2(-4 + 2v) + -3(v + -6) 2 + -13v = (-4 * -2 + 2v * -2) + -3(v + -6) 2 + -13v = (8 + -4v) + -3(v + -6) Reorder the terms: 2 + -13v = 8 + -4v + -3(-6 + v) 2 + -13v = 8 + -4v + (-6 * -3 + v * -3) 2 + -13v = 8 + -4v + (18 + -3v) Reorder the terms: 2 + -13v = 8 + 18 + -4v + -3v Combine like terms: 8 + 18 = 26 2 + -13v = 26 + -4v + -3v Combine like terms: -4v + -3v = -7v 2 + -13v = 26 + -7v Solving 2 + -13v = 26 + -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. 2 + -13v + 7v = 26 + -7v + 7v Combine like terms: -13v + 7v = -6v 2 + -6v = 26 + -7v + 7v Combine like terms: -7v + 7v = 0 2 + -6v = 26 + 0 2 + -6v = 26 Add '-2' to each side of the equation. 2 + -2 + -6v = 26 + -2 Combine like terms: 2 + -2 = 0 0 + -6v = 26 + -2 -6v = 26 + -2 Combine like terms: 26 + -2 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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