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Simplifying 3(v + -1) = (7v + 8) Reorder the terms: 3(-1 + v) = (7v + 8) (-1 * 3 + v * 3) = (7v + 8) (-3 + 3v) = (7v + 8) Reorder the terms: -3 + 3v = (8 + 7v) Remove parenthesis around (8 + 7v) -3 + 3v = 8 + 7v Solving -3 + 3v = 8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -3 + 3v + -7v = 8 + 7v + -7v Combine like terms: 3v + -7v = -4v -3 + -4v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 -3 + -4v = 8 + 0 -3 + -4v = 8 Add '3' to each side of the equation. -3 + 3 + -4v = 8 + 3 Combine like terms: -3 + 3 = 0 0 + -4v = 8 + 3 -4v = 8 + 3 Combine like terms: 8 + 3 = 11 -4v = 11 Divide each side by '-4'. v = -2.75 Simplifying v = -2.75
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