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Simplifying -3(5v + -5) + 5v = 9 + 2(4v + -2) Reorder the terms: -3(-5 + 5v) + 5v = 9 + 2(4v + -2) (-5 * -3 + 5v * -3) + 5v = 9 + 2(4v + -2) (15 + -15v) + 5v = 9 + 2(4v + -2) Combine like terms: -15v + 5v = -10v 15 + -10v = 9 + 2(4v + -2) Reorder the terms: 15 + -10v = 9 + 2(-2 + 4v) 15 + -10v = 9 + (-2 * 2 + 4v * 2) 15 + -10v = 9 + (-4 + 8v) Combine like terms: 9 + -4 = 5 15 + -10v = 5 + 8v Solving 15 + -10v = 5 + 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. 15 + -10v + -8v = 5 + 8v + -8v Combine like terms: -10v + -8v = -18v 15 + -18v = 5 + 8v + -8v Combine like terms: 8v + -8v = 0 15 + -18v = 5 + 0 15 + -18v = 5 Add '-15' to each side of the equation. 15 + -15 + -18v = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -18v = 5 + -15 -18v = 5 + -15 Combine like terms: 5 + -15 = -10 -18v = -10 Divide each side by '-18'. v = 0.5555555556 Simplifying v = 0.5555555556
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