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Simplifying -3(7v + -8) + 5v = 2(v + 7) Reorder the terms: -3(-8 + 7v) + 5v = 2(v + 7) (-8 * -3 + 7v * -3) + 5v = 2(v + 7) (24 + -21v) + 5v = 2(v + 7) Combine like terms: -21v + 5v = -16v 24 + -16v = 2(v + 7) Reorder the terms: 24 + -16v = 2(7 + v) 24 + -16v = (7 * 2 + v * 2) 24 + -16v = (14 + 2v) Solving 24 + -16v = 14 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 24 + -16v + -2v = 14 + 2v + -2v Combine like terms: -16v + -2v = -18v 24 + -18v = 14 + 2v + -2v Combine like terms: 2v + -2v = 0 24 + -18v = 14 + 0 24 + -18v = 14 Add '-24' to each side of the equation. 24 + -24 + -18v = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -18v = 14 + -24 -18v = 14 + -24 Combine like terms: 14 + -24 = -10 -18v = -10 Divide each side by '-18'. v = 0.5555555556 Simplifying v = 0.5555555556
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