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Simplifying -3(6v + 7) + -1v = 2(v + -5) + -5 Reorder the terms: -3(7 + 6v) + -1v = 2(v + -5) + -5 (7 * -3 + 6v * -3) + -1v = 2(v + -5) + -5 (-21 + -18v) + -1v = 2(v + -5) + -5 Combine like terms: -18v + -1v = -19v -21 + -19v = 2(v + -5) + -5 Reorder the terms: -21 + -19v = 2(-5 + v) + -5 -21 + -19v = (-5 * 2 + v * 2) + -5 -21 + -19v = (-10 + 2v) + -5 Reorder the terms: -21 + -19v = -10 + -5 + 2v Combine like terms: -10 + -5 = -15 -21 + -19v = -15 + 2v Solving -21 + -19v = -15 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -21 + -19v + -2v = -15 + 2v + -2v Combine like terms: -19v + -2v = -21v -21 + -21v = -15 + 2v + -2v Combine like terms: 2v + -2v = 0 -21 + -21v = -15 + 0 -21 + -21v = -15 Add '21' to each side of the equation. -21 + 21 + -21v = -15 + 21 Combine like terms: -21 + 21 = 0 0 + -21v = -15 + 21 -21v = -15 + 21 Combine like terms: -15 + 21 = 6 -21v = 6 Divide each side by '-21'. v = -0.2857142857 Simplifying v = -0.2857142857
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