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Simplifying 10(v + 3) + -2v = 3(4v + 2) + -13 Reorder the terms: 10(3 + v) + -2v = 3(4v + 2) + -13 (3 * 10 + v * 10) + -2v = 3(4v + 2) + -13 (30 + 10v) + -2v = 3(4v + 2) + -13 Combine like terms: 10v + -2v = 8v 30 + 8v = 3(4v + 2) + -13 Reorder the terms: 30 + 8v = 3(2 + 4v) + -13 30 + 8v = (2 * 3 + 4v * 3) + -13 30 + 8v = (6 + 12v) + -13 Reorder the terms: 30 + 8v = 6 + -13 + 12v Combine like terms: 6 + -13 = -7 30 + 8v = -7 + 12v Solving 30 + 8v = -7 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 30 + 8v + -12v = -7 + 12v + -12v Combine like terms: 8v + -12v = -4v 30 + -4v = -7 + 12v + -12v Combine like terms: 12v + -12v = 0 30 + -4v = -7 + 0 30 + -4v = -7 Add '-30' to each side of the equation. 30 + -30 + -4v = -7 + -30 Combine like terms: 30 + -30 = 0 0 + -4v = -7 + -30 -4v = -7 + -30 Combine like terms: -7 + -30 = -37 -4v = -37 Divide each side by '-4'. v = 9.25 Simplifying v = 9.25
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