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