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Simplifying -4v + -12 = 8(v + -9) Reorder the terms: -12 + -4v = 8(v + -9) Reorder the terms: -12 + -4v = 8(-9 + v) -12 + -4v = (-9 * 8 + v * 8) -12 + -4v = (-72 + 8v) Solving -12 + -4v = -72 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -12 + -4v + -8v = -72 + 8v + -8v Combine like terms: -4v + -8v = -12v -12 + -12v = -72 + 8v + -8v Combine like terms: 8v + -8v = 0 -12 + -12v = -72 + 0 -12 + -12v = -72 Add '12' to each side of the equation. -12 + 12 + -12v = -72 + 12 Combine like terms: -12 + 12 = 0 0 + -12v = -72 + 12 -12v = -72 + 12 Combine like terms: -72 + 12 = -60 -12v = -60 Divide each side by '-12'. v = 5 Simplifying v = 5
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