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Simplifying 5(v + 7) = 9v + 47 Reorder the terms: 5(7 + v) = 9v + 47 (7 * 5 + v * 5) = 9v + 47 (35 + 5v) = 9v + 47 Reorder the terms: 35 + 5v = 47 + 9v Solving 35 + 5v = 47 + 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. 35 + 5v + -9v = 47 + 9v + -9v Combine like terms: 5v + -9v = -4v 35 + -4v = 47 + 9v + -9v Combine like terms: 9v + -9v = 0 35 + -4v = 47 + 0 35 + -4v = 47 Add '-35' to each side of the equation. 35 + -35 + -4v = 47 + -35 Combine like terms: 35 + -35 = 0 0 + -4v = 47 + -35 -4v = 47 + -35 Combine like terms: 47 + -35 = 12 -4v = 12 Divide each side by '-4'. v = -3 Simplifying v = -3
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