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Simplifying 10(v + 4) + -2v = 2(v + 1) + -8 Reorder the terms: 10(4 + v) + -2v = 2(v + 1) + -8 (4 * 10 + v * 10) + -2v = 2(v + 1) + -8 (40 + 10v) + -2v = 2(v + 1) + -8 Combine like terms: 10v + -2v = 8v 40 + 8v = 2(v + 1) + -8 Reorder the terms: 40 + 8v = 2(1 + v) + -8 40 + 8v = (1 * 2 + v * 2) + -8 40 + 8v = (2 + 2v) + -8 Reorder the terms: 40 + 8v = 2 + -8 + 2v Combine like terms: 2 + -8 = -6 40 + 8v = -6 + 2v Solving 40 + 8v = -6 + 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. 40 + 8v + -2v = -6 + 2v + -2v Combine like terms: 8v + -2v = 6v 40 + 6v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 40 + 6v = -6 + 0 40 + 6v = -6 Add '-40' to each side of the equation. 40 + -40 + 6v = -6 + -40 Combine like terms: 40 + -40 = 0 0 + 6v = -6 + -40 6v = -6 + -40 Combine like terms: -6 + -40 = -46 6v = -46 Divide each side by '6'. v = -7.666666667 Simplifying v = -7.666666667
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