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Simplifying -3(3 + 6v) + -5(6 + -2v) = 7v + 8 + v + -3 (3 * -3 + 6v * -3) + -5(6 + -2v) = 7v + 8 + v + -3 (-9 + -18v) + -5(6 + -2v) = 7v + 8 + v + -3 -9 + -18v + (6 * -5 + -2v * -5) = 7v + 8 + v + -3 -9 + -18v + (-30 + 10v) = 7v + 8 + v + -3 Reorder the terms: -9 + -30 + -18v + 10v = 7v + 8 + v + -3 Combine like terms: -9 + -30 = -39 -39 + -18v + 10v = 7v + 8 + v + -3 Combine like terms: -18v + 10v = -8v -39 + -8v = 7v + 8 + v + -3 Reorder the terms: -39 + -8v = 8 + -3 + 7v + v Combine like terms: 8 + -3 = 5 -39 + -8v = 5 + 7v + v Combine like terms: 7v + v = 8v -39 + -8v = 5 + 8v Solving -39 + -8v = 5 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -39 + -8v + -8v = 5 + 8v + -8v Combine like terms: -8v + -8v = -16v -39 + -16v = 5 + 8v + -8v Combine like terms: 8v + -8v = 0 -39 + -16v = 5 + 0 -39 + -16v = 5 Add '39' to each side of the equation. -39 + 39 + -16v = 5 + 39 Combine like terms: -39 + 39 = 0 0 + -16v = 5 + 39 -16v = 5 + 39 Combine like terms: 5 + 39 = 44 -16v = 44 Divide each side by '-16'. v = -2.75 Simplifying v = -2.75
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