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Simplifying 3(v + -1) + -5 = -2(-7v + 1) + -3v Reorder the terms: 3(-1 + v) + -5 = -2(-7v + 1) + -3v (-1 * 3 + v * 3) + -5 = -2(-7v + 1) + -3v (-3 + 3v) + -5 = -2(-7v + 1) + -3v Reorder the terms: -3 + -5 + 3v = -2(-7v + 1) + -3v Combine like terms: -3 + -5 = -8 -8 + 3v = -2(-7v + 1) + -3v Reorder the terms: -8 + 3v = -2(1 + -7v) + -3v -8 + 3v = (1 * -2 + -7v * -2) + -3v -8 + 3v = (-2 + 14v) + -3v Combine like terms: 14v + -3v = 11v -8 + 3v = -2 + 11v Solving -8 + 3v = -2 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -8 + 3v + -11v = -2 + 11v + -11v Combine like terms: 3v + -11v = -8v -8 + -8v = -2 + 11v + -11v Combine like terms: 11v + -11v = 0 -8 + -8v = -2 + 0 -8 + -8v = -2 Add '8' to each side of the equation. -8 + 8 + -8v = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -8v = -2 + 8 -8v = -2 + 8 Combine like terms: -2 + 8 = 6 -8v = 6 Divide each side by '-8'. v = -0.75 Simplifying v = -0.75
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