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Simplifying 10(v + 3) + -2v = 2(4v + 1) + -4 Reorder the terms: 10(3 + v) + -2v = 2(4v + 1) + -4 (3 * 10 + v * 10) + -2v = 2(4v + 1) + -4 (30 + 10v) + -2v = 2(4v + 1) + -4 Combine like terms: 10v + -2v = 8v 30 + 8v = 2(4v + 1) + -4 Reorder the terms: 30 + 8v = 2(1 + 4v) + -4 30 + 8v = (1 * 2 + 4v * 2) + -4 30 + 8v = (2 + 8v) + -4 Reorder the terms: 30 + 8v = 2 + -4 + 8v Combine like terms: 2 + -4 = -2 30 + 8v = -2 + 8v Add '-8v' to each side of the equation. 30 + 8v + -8v = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 30 + 0 = -2 + 8v + -8v 30 = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 30 = -2 + 0 30 = -2 Solving 30 = -2 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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