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Simplifying v + -7 + 4(3v + 2) = 2(v + 1) Reorder the terms: v + -7 + 4(2 + 3v) = 2(v + 1) v + -7 + (2 * 4 + 3v * 4) = 2(v + 1) v + -7 + (8 + 12v) = 2(v + 1) Reorder the terms: -7 + 8 + v + 12v = 2(v + 1) Combine like terms: -7 + 8 = 1 1 + v + 12v = 2(v + 1) Combine like terms: v + 12v = 13v 1 + 13v = 2(v + 1) Reorder the terms: 1 + 13v = 2(1 + v) 1 + 13v = (1 * 2 + v * 2) 1 + 13v = (2 + 2v) Solving 1 + 13v = 2 + 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. 1 + 13v + -2v = 2 + 2v + -2v Combine like terms: 13v + -2v = 11v 1 + 11v = 2 + 2v + -2v Combine like terms: 2v + -2v = 0 1 + 11v = 2 + 0 1 + 11v = 2 Add '-1' to each side of the equation. 1 + -1 + 11v = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 11v = 2 + -1 11v = 2 + -1 Combine like terms: 2 + -1 = 1 11v = 1 Divide each side by '11'. v = 0.09090909091 Simplifying v = 0.09090909091
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