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Simplifying 10(v + 1) + -2v = 2(4v + 4) + -12 Reorder the terms: 10(1 + v) + -2v = 2(4v + 4) + -12 (1 * 10 + v * 10) + -2v = 2(4v + 4) + -12 (10 + 10v) + -2v = 2(4v + 4) + -12 Combine like terms: 10v + -2v = 8v 10 + 8v = 2(4v + 4) + -12 Reorder the terms: 10 + 8v = 2(4 + 4v) + -12 10 + 8v = (4 * 2 + 4v * 2) + -12 10 + 8v = (8 + 8v) + -12 Reorder the terms: 10 + 8v = 8 + -12 + 8v Combine like terms: 8 + -12 = -4 10 + 8v = -4 + 8v Add '-8v' to each side of the equation. 10 + 8v + -8v = -4 + 8v + -8v Combine like terms: 8v + -8v = 0 10 + 0 = -4 + 8v + -8v 10 = -4 + 8v + -8v Combine like terms: 8v + -8v = 0 10 = -4 + 0 10 = -4 Solving 10 = -4 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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