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Simplifying 10(v + 3) + -2v = 4(2v + 4) + -23 Reorder the terms: 10(3 + v) + -2v = 4(2v + 4) + -23 (3 * 10 + v * 10) + -2v = 4(2v + 4) + -23 (30 + 10v) + -2v = 4(2v + 4) + -23 Combine like terms: 10v + -2v = 8v 30 + 8v = 4(2v + 4) + -23 Reorder the terms: 30 + 8v = 4(4 + 2v) + -23 30 + 8v = (4 * 4 + 2v * 4) + -23 30 + 8v = (16 + 8v) + -23 Reorder the terms: 30 + 8v = 16 + -23 + 8v Combine like terms: 16 + -23 = -7 30 + 8v = -7 + 8v Add '-8v' to each side of the equation. 30 + 8v + -8v = -7 + 8v + -8v Combine like terms: 8v + -8v = 0 30 + 0 = -7 + 8v + -8v 30 = -7 + 8v + -8v Combine like terms: 8v + -8v = 0 30 = -7 + 0 30 = -7 Solving 30 = -7 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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