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Simplifying -24 = 3v + 4(v + 8) Reorder the terms: -24 = 3v + 4(8 + v) -24 = 3v + (8 * 4 + v * 4) -24 = 3v + (32 + 4v) Reorder the terms: -24 = 32 + 3v + 4v Combine like terms: 3v + 4v = 7v -24 = 32 + 7v Solving -24 = 32 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -24 + -7v = 32 + 7v + -7v Combine like terms: 7v + -7v = 0 -24 + -7v = 32 + 0 -24 + -7v = 32 Add '24' to each side of the equation. -24 + 24 + -7v = 32 + 24 Combine like terms: -24 + 24 = 0 0 + -7v = 32 + 24 -7v = 32 + 24 Combine like terms: 32 + 24 = 56 -7v = 56 Divide each side by '-7'. v = -8 Simplifying v = -8
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