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Simplifying -59 = 3(v + 5) + -8(2v + 6) Reorder the terms: -59 = 3(5 + v) + -8(2v + 6) -59 = (5 * 3 + v * 3) + -8(2v + 6) -59 = (15 + 3v) + -8(2v + 6) Reorder the terms: -59 = 15 + 3v + -8(6 + 2v) -59 = 15 + 3v + (6 * -8 + 2v * -8) -59 = 15 + 3v + (-48 + -16v) Reorder the terms: -59 = 15 + -48 + 3v + -16v Combine like terms: 15 + -48 = -33 -59 = -33 + 3v + -16v Combine like terms: 3v + -16v = -13v -59 = -33 + -13v Solving -59 = -33 + -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. -59 + 13v = -33 + -13v + 13v Combine like terms: -13v + 13v = 0 -59 + 13v = -33 + 0 -59 + 13v = -33 Add '59' to each side of the equation. -59 + 59 + 13v = -33 + 59 Combine like terms: -59 + 59 = 0 0 + 13v = -33 + 59 13v = -33 + 59 Combine like terms: -33 + 59 = 26 13v = 26 Divide each side by '13'. v = 2 Simplifying v = 2
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