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Simplifying 5(v + 3) = 8v + 33 Reorder the terms: 5(3 + v) = 8v + 33 (3 * 5 + v * 5) = 8v + 33 (15 + 5v) = 8v + 33 Reorder the terms: 15 + 5v = 33 + 8v Solving 15 + 5v = 33 + 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. 15 + 5v + -8v = 33 + 8v + -8v Combine like terms: 5v + -8v = -3v 15 + -3v = 33 + 8v + -8v Combine like terms: 8v + -8v = 0 15 + -3v = 33 + 0 15 + -3v = 33 Add '-15' to each side of the equation. 15 + -15 + -3v = 33 + -15 Combine like terms: 15 + -15 = 0 0 + -3v = 33 + -15 -3v = 33 + -15 Combine like terms: 33 + -15 = 18 -3v = 18 Divide each side by '-3'. v = -6 Simplifying v = -6
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