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Simplifying 2(4 + v) + 3v = -1(-2v + -4) + 5v (4 * 2 + v * 2) + 3v = -1(-2v + -4) + 5v (8 + 2v) + 3v = -1(-2v + -4) + 5v Combine like terms: 2v + 3v = 5v 8 + 5v = -1(-2v + -4) + 5v Reorder the terms: 8 + 5v = -1(-4 + -2v) + 5v 8 + 5v = (-4 * -1 + -2v * -1) + 5v 8 + 5v = (4 + 2v) + 5v Combine like terms: 2v + 5v = 7v 8 + 5v = 4 + 7v Solving 8 + 5v = 4 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 8 + 5v + -7v = 4 + 7v + -7v Combine like terms: 5v + -7v = -2v 8 + -2v = 4 + 7v + -7v Combine like terms: 7v + -7v = 0 8 + -2v = 4 + 0 8 + -2v = 4 Add '-8' to each side of the equation. 8 + -8 + -2v = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2v = 4 + -8 -2v = 4 + -8 Combine like terms: 4 + -8 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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