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Simplifying -60 = -3(4v + -8) + -8(v + 3) Reorder the terms: -60 = -3(-8 + 4v) + -8(v + 3) -60 = (-8 * -3 + 4v * -3) + -8(v + 3) -60 = (24 + -12v) + -8(v + 3) Reorder the terms: -60 = 24 + -12v + -8(3 + v) -60 = 24 + -12v + (3 * -8 + v * -8) -60 = 24 + -12v + (-24 + -8v) Reorder the terms: -60 = 24 + -24 + -12v + -8v Combine like terms: 24 + -24 = 0 -60 = 0 + -12v + -8v -60 = -12v + -8v Combine like terms: -12v + -8v = -20v -60 = -20v Solving -60 = -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. -60 + 20v = -20v + 20v Combine like terms: -20v + 20v = 0 -60 + 20v = 0 Add '60' to each side of the equation. -60 + 60 + 20v = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 20v = 0 + 60 20v = 0 + 60 Combine like terms: 0 + 60 = 60 20v = 60 Divide each side by '20'. v = 3 Simplifying v = 3
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