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Simplifying 6(v + 5) = 9v + 42 Reorder the terms: 6(5 + v) = 9v + 42 (5 * 6 + v * 6) = 9v + 42 (30 + 6v) = 9v + 42 Reorder the terms: 30 + 6v = 42 + 9v Solving 30 + 6v = 42 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 30 + 6v + -9v = 42 + 9v + -9v Combine like terms: 6v + -9v = -3v 30 + -3v = 42 + 9v + -9v Combine like terms: 9v + -9v = 0 30 + -3v = 42 + 0 30 + -3v = 42 Add '-30' to each side of the equation. 30 + -30 + -3v = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -3v = 42 + -30 -3v = 42 + -30 Combine like terms: 42 + -30 = 12 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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