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Simplifying 8(v + 6) + 4v = -24 Reorder the terms: 8(6 + v) + 4v = -24 (6 * 8 + v * 8) + 4v = -24 (48 + 8v) + 4v = -24 Combine like terms: 8v + 4v = 12v 48 + 12v = -24 Solving 48 + 12v = -24 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. 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 = -72 12v = -72 Divide each side by '12'. v = -6 Simplifying v = -6
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