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Simplifying -8v + 12 = -5(v + -3) Reorder the terms: 12 + -8v = -5(v + -3) Reorder the terms: 12 + -8v = -5(-3 + v) 12 + -8v = (-3 * -5 + v * -5) 12 + -8v = (15 + -5v) Solving 12 + -8v = 15 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 12 + -8v + 5v = 15 + -5v + 5v Combine like terms: -8v + 5v = -3v 12 + -3v = 15 + -5v + 5v Combine like terms: -5v + 5v = 0 12 + -3v = 15 + 0 12 + -3v = 15 Add '-12' to each side of the equation. 12 + -12 + -3v = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -3v = 15 + -12 -3v = 15 + -12 Combine like terms: 15 + -12 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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