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Simplifying 9(v + 3) + -4(v + 5) = v + -13 Reorder the terms: 9(3 + v) + -4(v + 5) = v + -13 (3 * 9 + v * 9) + -4(v + 5) = v + -13 (27 + 9v) + -4(v + 5) = v + -13 Reorder the terms: 27 + 9v + -4(5 + v) = v + -13 27 + 9v + (5 * -4 + v * -4) = v + -13 27 + 9v + (-20 + -4v) = v + -13 Reorder the terms: 27 + -20 + 9v + -4v = v + -13 Combine like terms: 27 + -20 = 7 7 + 9v + -4v = v + -13 Combine like terms: 9v + -4v = 5v 7 + 5v = v + -13 Reorder the terms: 7 + 5v = -13 + v Solving 7 + 5v = -13 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 7 + 5v + -1v = -13 + v + -1v Combine like terms: 5v + -1v = 4v 7 + 4v = -13 + v + -1v Combine like terms: v + -1v = 0 7 + 4v = -13 + 0 7 + 4v = -13 Add '-7' to each side of the equation. 7 + -7 + 4v = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 4v = -13 + -7 4v = -13 + -7 Combine like terms: -13 + -7 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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