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Simplifying 5(v + 3) = -6(2v + -3) + 2v Reorder the terms: 5(3 + v) = -6(2v + -3) + 2v (3 * 5 + v * 5) = -6(2v + -3) + 2v (15 + 5v) = -6(2v + -3) + 2v Reorder the terms: 15 + 5v = -6(-3 + 2v) + 2v 15 + 5v = (-3 * -6 + 2v * -6) + 2v 15 + 5v = (18 + -12v) + 2v Combine like terms: -12v + 2v = -10v 15 + 5v = 18 + -10v Solving 15 + 5v = 18 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 15 + 5v + 10v = 18 + -10v + 10v Combine like terms: 5v + 10v = 15v 15 + 15v = 18 + -10v + 10v Combine like terms: -10v + 10v = 0 15 + 15v = 18 + 0 15 + 15v = 18 Add '-15' to each side of the equation. 15 + -15 + 15v = 18 + -15 Combine like terms: 15 + -15 = 0 0 + 15v = 18 + -15 15v = 18 + -15 Combine like terms: 18 + -15 = 3 15v = 3 Divide each side by '15'. v = 0.2 Simplifying v = 0.2
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