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Simplifying 8(v + 7) + -2v = 5v + -1(3v + -4) Reorder the terms: 8(7 + v) + -2v = 5v + -1(3v + -4) (7 * 8 + v * 8) + -2v = 5v + -1(3v + -4) (56 + 8v) + -2v = 5v + -1(3v + -4) Combine like terms: 8v + -2v = 6v 56 + 6v = 5v + -1(3v + -4) Reorder the terms: 56 + 6v = 5v + -1(-4 + 3v) 56 + 6v = 5v + (-4 * -1 + 3v * -1) 56 + 6v = 5v + (4 + -3v) Reorder the terms: 56 + 6v = 4 + 5v + -3v Combine like terms: 5v + -3v = 2v 56 + 6v = 4 + 2v Solving 56 + 6v = 4 + 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. 56 + 6v + -2v = 4 + 2v + -2v Combine like terms: 6v + -2v = 4v 56 + 4v = 4 + 2v + -2v Combine like terms: 2v + -2v = 0 56 + 4v = 4 + 0 56 + 4v = 4 Add '-56' to each side of the equation. 56 + -56 + 4v = 4 + -56 Combine like terms: 56 + -56 = 0 0 + 4v = 4 + -56 4v = 4 + -56 Combine like terms: 4 + -56 = -52 4v = -52 Divide each side by '4'. v = -13 Simplifying v = -13
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