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Simplifying -2(-5v + 1) + -1v = 3(v + -5) + -3 Reorder the terms: -2(1 + -5v) + -1v = 3(v + -5) + -3 (1 * -2 + -5v * -2) + -1v = 3(v + -5) + -3 (-2 + 10v) + -1v = 3(v + -5) + -3 Combine like terms: 10v + -1v = 9v -2 + 9v = 3(v + -5) + -3 Reorder the terms: -2 + 9v = 3(-5 + v) + -3 -2 + 9v = (-5 * 3 + v * 3) + -3 -2 + 9v = (-15 + 3v) + -3 Reorder the terms: -2 + 9v = -15 + -3 + 3v Combine like terms: -15 + -3 = -18 -2 + 9v = -18 + 3v Solving -2 + 9v = -18 + 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. -2 + 9v + -3v = -18 + 3v + -3v Combine like terms: 9v + -3v = 6v -2 + 6v = -18 + 3v + -3v Combine like terms: 3v + -3v = 0 -2 + 6v = -18 + 0 -2 + 6v = -18 Add '2' to each side of the equation. -2 + 2 + 6v = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 6v = -18 + 2 6v = -18 + 2 Combine like terms: -18 + 2 = -16 6v = -16 Divide each side by '6'. v = -2.666666667 Simplifying v = -2.666666667
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