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Simplifying -8(v + 6) + -1v = 6v + 12 Reorder the terms: -8(6 + v) + -1v = 6v + 12 (6 * -8 + v * -8) + -1v = 6v + 12 (-48 + -8v) + -1v = 6v + 12 Combine like terms: -8v + -1v = -9v -48 + -9v = 6v + 12 Reorder the terms: -48 + -9v = 12 + 6v Solving -48 + -9v = 12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -48 + -9v + -6v = 12 + 6v + -6v Combine like terms: -9v + -6v = -15v -48 + -15v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -48 + -15v = 12 + 0 -48 + -15v = 12 Add '48' to each side of the equation. -48 + 48 + -15v = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -15v = 12 + 48 -15v = 12 + 48 Combine like terms: 12 + 48 = 60 -15v = 60 Divide each side by '-15'. v = -4 Simplifying v = -4
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