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Simplifying -6(v + 8) = 6v + -24 Reorder the terms: -6(8 + v) = 6v + -24 (8 * -6 + v * -6) = 6v + -24 (-48 + -6v) = 6v + -24 Reorder the terms: -48 + -6v = -24 + 6v Solving -48 + -6v = -24 + 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 + -6v + -6v = -24 + 6v + -6v Combine like terms: -6v + -6v = -12v -48 + -12v = -24 + 6v + -6v Combine like terms: 6v + -6v = 0 -48 + -12v = -24 + 0 -48 + -12v = -24 Add '48' to each side of the equation. -48 + 48 + -12v = -24 + 48 Combine like terms: -48 + 48 = 0 0 + -12v = -24 + 48 -12v = -24 + 48 Combine like terms: -24 + 48 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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