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Simplifying -8(v + -6) = -4v + 12 Reorder the terms: -8(-6 + v) = -4v + 12 (-6 * -8 + v * -8) = -4v + 12 (48 + -8v) = -4v + 12 Reorder the terms: 48 + -8v = 12 + -4v Solving 48 + -8v = 12 + -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. 48 + -8v + 4v = 12 + -4v + 4v Combine like terms: -8v + 4v = -4v 48 + -4v = 12 + -4v + 4v Combine like terms: -4v + 4v = 0 48 + -4v = 12 + 0 48 + -4v = 12 Add '-48' to each side of the equation. 48 + -48 + -4v = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -4v = 12 + -48 -4v = 12 + -48 Combine like terms: 12 + -48 = -36 -4v = -36 Divide each side by '-4'. v = 9 Simplifying v = 9
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