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Simplifying 28 = -6(1 + 2v) + -1(v + 5) 28 = (1 * -6 + 2v * -6) + -1(v + 5) 28 = (-6 + -12v) + -1(v + 5) Reorder the terms: 28 = -6 + -12v + -1(5 + v) 28 = -6 + -12v + (5 * -1 + v * -1) 28 = -6 + -12v + (-5 + -1v) Reorder the terms: 28 = -6 + -5 + -12v + -1v Combine like terms: -6 + -5 = -11 28 = -11 + -12v + -1v Combine like terms: -12v + -1v = -13v 28 = -11 + -13v Solving 28 = -11 + -13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13v' to each side of the equation. 28 + 13v = -11 + -13v + 13v Combine like terms: -13v + 13v = 0 28 + 13v = -11 + 0 28 + 13v = -11 Add '-28' to each side of the equation. 28 + -28 + 13v = -11 + -28 Combine like terms: 28 + -28 = 0 0 + 13v = -11 + -28 13v = -11 + -28 Combine like terms: -11 + -28 = -39 13v = -39 Divide each side by '13'. v = -3 Simplifying v = -3
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