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Simplifying 10(v + 3) + -2v = 4(2v + 3) + -15 Reorder the terms: 10(3 + v) + -2v = 4(2v + 3) + -15 (3 * 10 + v * 10) + -2v = 4(2v + 3) + -15 (30 + 10v) + -2v = 4(2v + 3) + -15 Combine like terms: 10v + -2v = 8v 30 + 8v = 4(2v + 3) + -15 Reorder the terms: 30 + 8v = 4(3 + 2v) + -15 30 + 8v = (3 * 4 + 2v * 4) + -15 30 + 8v = (12 + 8v) + -15 Reorder the terms: 30 + 8v = 12 + -15 + 8v Combine like terms: 12 + -15 = -3 30 + 8v = -3 + 8v Add '-8v' to each side of the equation. 30 + 8v + -8v = -3 + 8v + -8v Combine like terms: 8v + -8v = 0 30 + 0 = -3 + 8v + -8v 30 = -3 + 8v + -8v Combine like terms: 8v + -8v = 0 30 = -3 + 0 30 = -3 Solving 30 = -3 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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