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Simplifying -3 + -1(8v + -5) + (6 + -7v) + -1 = 7 + -1(v + -1) + (4v + 4) Reorder the terms: -3 + -1(-5 + 8v) + (6 + -7v) + -1 = 7 + -1(v + -1) + (4v + 4) -3 + (-5 * -1 + 8v * -1) + (6 + -7v) + -1 = 7 + -1(v + -1) + (4v + 4) -3 + (5 + -8v) + (6 + -7v) + -1 = 7 + -1(v + -1) + (4v + 4) Remove parenthesis around (6 + -7v) -3 + 5 + -8v + 6 + -7v + -1 = 7 + -1(v + -1) + (4v + 4) Reorder the terms: -3 + 5 + 6 + -1 + -8v + -7v = 7 + -1(v + -1) + (4v + 4) Combine like terms: -3 + 5 = 2 2 + 6 + -1 + -8v + -7v = 7 + -1(v + -1) + (4v + 4) Combine like terms: 2 + 6 = 8 8 + -1 + -8v + -7v = 7 + -1(v + -1) + (4v + 4) Combine like terms: 8 + -1 = 7 7 + -8v + -7v = 7 + -1(v + -1) + (4v + 4) Combine like terms: -8v + -7v = -15v 7 + -15v = 7 + -1(v + -1) + (4v + 4) Reorder the terms: 7 + -15v = 7 + -1(-1 + v) + (4v + 4) 7 + -15v = 7 + (-1 * -1 + v * -1) + (4v + 4) 7 + -15v = 7 + (1 + -1v) + (4v + 4) Reorder the terms: 7 + -15v = 7 + 1 + -1v + (4 + 4v) Remove parenthesis around (4 + 4v) 7 + -15v = 7 + 1 + -1v + 4 + 4v Reorder the terms: 7 + -15v = 7 + 1 + 4 + -1v + 4v Combine like terms: 7 + 1 = 8 7 + -15v = 8 + 4 + -1v + 4v Combine like terms: 8 + 4 = 12 7 + -15v = 12 + -1v + 4v Combine like terms: -1v + 4v = 3v 7 + -15v = 12 + 3v Solving 7 + -15v = 12 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 7 + -15v + -3v = 12 + 3v + -3v Combine like terms: -15v + -3v = -18v 7 + -18v = 12 + 3v + -3v Combine like terms: 3v + -3v = 0 7 + -18v = 12 + 0 7 + -18v = 12 Add '-7' to each side of the equation. 7 + -7 + -18v = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -18v = 12 + -7 -18v = 12 + -7 Combine like terms: 12 + -7 = 5 -18v = 5 Divide each side by '-18'. v = -0.2777777778 Simplifying v = -0.2777777778
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