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Simplifying -1(-2v + -6) = 4(2v + 12) Reorder the terms: -1(-6 + -2v) = 4(2v + 12) (-6 * -1 + -2v * -1) = 4(2v + 12) (6 + 2v) = 4(2v + 12) Reorder the terms: 6 + 2v = 4(12 + 2v) 6 + 2v = (12 * 4 + 2v * 4) 6 + 2v = (48 + 8v) Solving 6 + 2v = 48 + 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. 6 + 2v + -8v = 48 + 8v + -8v Combine like terms: 2v + -8v = -6v 6 + -6v = 48 + 8v + -8v Combine like terms: 8v + -8v = 0 6 + -6v = 48 + 0 6 + -6v = 48 Add '-6' to each side of the equation. 6 + -6 + -6v = 48 + -6 Combine like terms: 6 + -6 = 0 0 + -6v = 48 + -6 -6v = 48 + -6 Combine like terms: 48 + -6 = 42 -6v = 42 Divide each side by '-6'. v = -7 Simplifying v = -7
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