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Simplifying -5(v + 3) = v + -9 + 2(6v + 4) Reorder the terms: -5(3 + v) = v + -9 + 2(6v + 4) (3 * -5 + v * -5) = v + -9 + 2(6v + 4) (-15 + -5v) = v + -9 + 2(6v + 4) Reorder the terms: -15 + -5v = v + -9 + 2(4 + 6v) -15 + -5v = v + -9 + (4 * 2 + 6v * 2) -15 + -5v = v + -9 + (8 + 12v) Reorder the terms: -15 + -5v = -9 + 8 + v + 12v Combine like terms: -9 + 8 = -1 -15 + -5v = -1 + v + 12v Combine like terms: v + 12v = 13v -15 + -5v = -1 + 13v Solving -15 + -5v = -1 + 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. -15 + -5v + -13v = -1 + 13v + -13v Combine like terms: -5v + -13v = -18v -15 + -18v = -1 + 13v + -13v Combine like terms: 13v + -13v = 0 -15 + -18v = -1 + 0 -15 + -18v = -1 Add '15' to each side of the equation. -15 + 15 + -18v = -1 + 15 Combine like terms: -15 + 15 = 0 0 + -18v = -1 + 15 -18v = -1 + 15 Combine like terms: -1 + 15 = 14 -18v = 14 Divide each side by '-18'. v = -0.7777777778 Simplifying v = -0.7777777778
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