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Simplifying 1 + 2(v + 6) = 5(v + -1) Reorder the terms: 1 + 2(6 + v) = 5(v + -1) 1 + (6 * 2 + v * 2) = 5(v + -1) 1 + (12 + 2v) = 5(v + -1) Combine like terms: 1 + 12 = 13 13 + 2v = 5(v + -1) Reorder the terms: 13 + 2v = 5(-1 + v) 13 + 2v = (-1 * 5 + v * 5) 13 + 2v = (-5 + 5v) Solving 13 + 2v = -5 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 13 + 2v + -5v = -5 + 5v + -5v Combine like terms: 2v + -5v = -3v 13 + -3v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 13 + -3v = -5 + 0 13 + -3v = -5 Add '-13' to each side of the equation. 13 + -13 + -3v = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3v = -5 + -13 -3v = -5 + -13 Combine like terms: -5 + -13 = -18 -3v = -18 Divide each side by '-3'. v = 6 Simplifying v = 6
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