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Simplifying 5(v + 9) = 8v + 18 Reorder the terms: 5(9 + v) = 8v + 18 (9 * 5 + v * 5) = 8v + 18 (45 + 5v) = 8v + 18 Reorder the terms: 45 + 5v = 18 + 8v Solving 45 + 5v = 18 + 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. 45 + 5v + -8v = 18 + 8v + -8v Combine like terms: 5v + -8v = -3v 45 + -3v = 18 + 8v + -8v Combine like terms: 8v + -8v = 0 45 + -3v = 18 + 0 45 + -3v = 18 Add '-45' to each side of the equation. 45 + -45 + -3v = 18 + -45 Combine like terms: 45 + -45 = 0 0 + -3v = 18 + -45 -3v = 18 + -45 Combine like terms: 18 + -45 = -27 -3v = -27 Divide each side by '-3'. v = 9 Simplifying v = 9
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