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Simplifying -6(v + -8) = -15 + 3v Reorder the terms: -6(-8 + v) = -15 + 3v (-8 * -6 + v * -6) = -15 + 3v (48 + -6v) = -15 + 3v Solving 48 + -6v = -15 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 48 + -6v + -3v = -15 + 3v + -3v Combine like terms: -6v + -3v = -9v 48 + -9v = -15 + 3v + -3v Combine like terms: 3v + -3v = 0 48 + -9v = -15 + 0 48 + -9v = -15 Add '-48' to each side of the equation. 48 + -48 + -9v = -15 + -48 Combine like terms: 48 + -48 = 0 0 + -9v = -15 + -48 -9v = -15 + -48 Combine like terms: -15 + -48 = -63 -9v = -63 Divide each side by '-9'. v = 7 Simplifying v = 7
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