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Simplifying -8v + -12 = -4(v + 7) Reorder the terms: -12 + -8v = -4(v + 7) Reorder the terms: -12 + -8v = -4(7 + v) -12 + -8v = (7 * -4 + v * -4) -12 + -8v = (-28 + -4v) Solving -12 + -8v = -28 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -12 + -8v + 4v = -28 + -4v + 4v Combine like terms: -8v + 4v = -4v -12 + -4v = -28 + -4v + 4v Combine like terms: -4v + 4v = 0 -12 + -4v = -28 + 0 -12 + -4v = -28 Add '12' to each side of the equation. -12 + 12 + -4v = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -4v = -28 + 12 -4v = -28 + 12 Combine like terms: -28 + 12 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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