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Simplifying -6(v + 8) = 6(v + -6) Reorder the terms: -6(8 + v) = 6(v + -6) (8 * -6 + v * -6) = 6(v + -6) (-48 + -6v) = 6(v + -6) Reorder the terms: -48 + -6v = 6(-6 + v) -48 + -6v = (-6 * 6 + v * 6) -48 + -6v = (-36 + 6v) Solving -48 + -6v = -36 + 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 = -36 + 6v + -6v Combine like terms: -6v + -6v = -12v -48 + -12v = -36 + 6v + -6v Combine like terms: 6v + -6v = 0 -48 + -12v = -36 + 0 -48 + -12v = -36 Add '48' to each side of the equation. -48 + 48 + -12v = -36 + 48 Combine like terms: -48 + 48 = 0 0 + -12v = -36 + 48 -12v = -36 + 48 Combine like terms: -36 + 48 = 12 -12v = 12 Divide each side by '-12'. v = -1 Simplifying v = -1
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