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Simplifying -3(6v + 6) + -5v = 3(v + -3) + -1 Reorder the terms: -3(6 + 6v) + -5v = 3(v + -3) + -1 (6 * -3 + 6v * -3) + -5v = 3(v + -3) + -1 (-18 + -18v) + -5v = 3(v + -3) + -1 Combine like terms: -18v + -5v = -23v -18 + -23v = 3(v + -3) + -1 Reorder the terms: -18 + -23v = 3(-3 + v) + -1 -18 + -23v = (-3 * 3 + v * 3) + -1 -18 + -23v = (-9 + 3v) + -1 Reorder the terms: -18 + -23v = -9 + -1 + 3v Combine like terms: -9 + -1 = -10 -18 + -23v = -10 + 3v Solving -18 + -23v = -10 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -18 + -23v + -3v = -10 + 3v + -3v Combine like terms: -23v + -3v = -26v -18 + -26v = -10 + 3v + -3v Combine like terms: 3v + -3v = 0 -18 + -26v = -10 + 0 -18 + -26v = -10 Add '18' to each side of the equation. -18 + 18 + -26v = -10 + 18 Combine like terms: -18 + 18 = 0 0 + -26v = -10 + 18 -26v = -10 + 18 Combine like terms: -10 + 18 = 8 -26v = 8 Divide each side by '-26'. v = -0.3076923077 Simplifying v = -0.3076923077
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