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Simplifying 4v + 24 = 8(v + 8) Reorder the terms: 24 + 4v = 8(v + 8) Reorder the terms: 24 + 4v = 8(8 + v) 24 + 4v = (8 * 8 + v * 8) 24 + 4v = (64 + 8v) Solving 24 + 4v = 64 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 24 + 4v + -8v = 64 + 8v + -8v Combine like terms: 4v + -8v = -4v 24 + -4v = 64 + 8v + -8v Combine like terms: 8v + -8v = 0 24 + -4v = 64 + 0 24 + -4v = 64 Add '-24' to each side of the equation. 24 + -24 + -4v = 64 + -24 Combine like terms: 24 + -24 = 0 0 + -4v = 64 + -24 -4v = 64 + -24 Combine like terms: 64 + -24 = 40 -4v = 40 Divide each side by '-4'. v = -10 Simplifying v = -10
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