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Simplifying 5(v + 7) = 8v + 38 Reorder the terms: 5(7 + v) = 8v + 38 (7 * 5 + v * 5) = 8v + 38 (35 + 5v) = 8v + 38 Reorder the terms: 35 + 5v = 38 + 8v Solving 35 + 5v = 38 + 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. 35 + 5v + -8v = 38 + 8v + -8v Combine like terms: 5v + -8v = -3v 35 + -3v = 38 + 8v + -8v Combine like terms: 8v + -8v = 0 35 + -3v = 38 + 0 35 + -3v = 38 Add '-35' to each side of the equation. 35 + -35 + -3v = 38 + -35 Combine like terms: 35 + -35 = 0 0 + -3v = 38 + -35 -3v = 38 + -35 Combine like terms: 38 + -35 = 3 -3v = 3 Divide each side by '-3'. v = -1 Simplifying v = -1
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