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Simplifying -2(5v + -4) + v = 7 + 3(3v + -3) Reorder the terms: -2(-4 + 5v) + v = 7 + 3(3v + -3) (-4 * -2 + 5v * -2) + v = 7 + 3(3v + -3) (8 + -10v) + v = 7 + 3(3v + -3) Combine like terms: -10v + v = -9v 8 + -9v = 7 + 3(3v + -3) Reorder the terms: 8 + -9v = 7 + 3(-3 + 3v) 8 + -9v = 7 + (-3 * 3 + 3v * 3) 8 + -9v = 7 + (-9 + 9v) Combine like terms: 7 + -9 = -2 8 + -9v = -2 + 9v Solving 8 + -9v = -2 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 8 + -9v + -9v = -2 + 9v + -9v Combine like terms: -9v + -9v = -18v 8 + -18v = -2 + 9v + -9v Combine like terms: 9v + -9v = 0 8 + -18v = -2 + 0 8 + -18v = -2 Add '-8' to each side of the equation. 8 + -8 + -18v = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -18v = -2 + -8 -18v = -2 + -8 Combine like terms: -2 + -8 = -10 -18v = -10 Divide each side by '-18'. v = 0.5555555556 Simplifying v = 0.5555555556
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