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Simplifying -3(3v + -6) + 5 = 6(v + 5) Reorder the terms: -3(-6 + 3v) + 5 = 6(v + 5) (-6 * -3 + 3v * -3) + 5 = 6(v + 5) (18 + -9v) + 5 = 6(v + 5) Reorder the terms: 18 + 5 + -9v = 6(v + 5) Combine like terms: 18 + 5 = 23 23 + -9v = 6(v + 5) Reorder the terms: 23 + -9v = 6(5 + v) 23 + -9v = (5 * 6 + v * 6) 23 + -9v = (30 + 6v) Solving 23 + -9v = 30 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 23 + -9v + -6v = 30 + 6v + -6v Combine like terms: -9v + -6v = -15v 23 + -15v = 30 + 6v + -6v Combine like terms: 6v + -6v = 0 23 + -15v = 30 + 0 23 + -15v = 30 Add '-23' to each side of the equation. 23 + -23 + -15v = 30 + -23 Combine like terms: 23 + -23 = 0 0 + -15v = 30 + -23 -15v = 30 + -23 Combine like terms: 30 + -23 = 7 -15v = 7 Divide each side by '-15'. v = -0.4666666667 Simplifying v = -0.4666666667
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