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Simplifying -6v + -24 = 6(v + 8) Reorder the terms: -24 + -6v = 6(v + 8) Reorder the terms: -24 + -6v = 6(8 + v) -24 + -6v = (8 * 6 + v * 6) -24 + -6v = (48 + 6v) Solving -24 + -6v = 48 + 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. -24 + -6v + -6v = 48 + 6v + -6v Combine like terms: -6v + -6v = -12v -24 + -12v = 48 + 6v + -6v Combine like terms: 6v + -6v = 0 -24 + -12v = 48 + 0 -24 + -12v = 48 Add '24' to each side of the equation. -24 + 24 + -12v = 48 + 24 Combine like terms: -24 + 24 = 0 0 + -12v = 48 + 24 -12v = 48 + 24 Combine like terms: 48 + 24 = 72 -12v = 72 Divide each side by '-12'. v = -6 Simplifying v = -6
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