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Simplifying -5(v + -6) = 8v + 12 Reorder the terms: -5(-6 + v) = 8v + 12 (-6 * -5 + v * -5) = 8v + 12 (30 + -5v) = 8v + 12 Reorder the terms: 30 + -5v = 12 + 8v Solving 30 + -5v = 12 + 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. 30 + -5v + -8v = 12 + 8v + -8v Combine like terms: -5v + -8v = -13v 30 + -13v = 12 + 8v + -8v Combine like terms: 8v + -8v = 0 30 + -13v = 12 + 0 30 + -13v = 12 Add '-30' to each side of the equation. 30 + -30 + -13v = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -13v = 12 + -30 -13v = 12 + -30 Combine like terms: 12 + -30 = -18 -13v = -18 Divide each side by '-13'. v = 1.384615385 Simplifying v = 1.384615385
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