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Simplifying 4(8 + v) = 8(v + 9) (8 * 4 + v * 4) = 8(v + 9) (32 + 4v) = 8(v + 9) Reorder the terms: 32 + 4v = 8(9 + v) 32 + 4v = (9 * 8 + v * 8) 32 + 4v = (72 + 8v) Solving 32 + 4v = 72 + 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. 32 + 4v + -8v = 72 + 8v + -8v Combine like terms: 4v + -8v = -4v 32 + -4v = 72 + 8v + -8v Combine like terms: 8v + -8v = 0 32 + -4v = 72 + 0 32 + -4v = 72 Add '-32' to each side of the equation. 32 + -32 + -4v = 72 + -32 Combine like terms: 32 + -32 = 0 0 + -4v = 72 + -32 -4v = 72 + -32 Combine like terms: 72 + -32 = 40 -4v = 40 Divide each side by '-4'. v = -10 Simplifying v = -10
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