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Simplifying 10(v + 1) + -2v = 4(2v + 4) + -24 Reorder the terms: 10(1 + v) + -2v = 4(2v + 4) + -24 (1 * 10 + v * 10) + -2v = 4(2v + 4) + -24 (10 + 10v) + -2v = 4(2v + 4) + -24 Combine like terms: 10v + -2v = 8v 10 + 8v = 4(2v + 4) + -24 Reorder the terms: 10 + 8v = 4(4 + 2v) + -24 10 + 8v = (4 * 4 + 2v * 4) + -24 10 + 8v = (16 + 8v) + -24 Reorder the terms: 10 + 8v = 16 + -24 + 8v Combine like terms: 16 + -24 = -8 10 + 8v = -8 + 8v Add '-8v' to each side of the equation. 10 + 8v + -8v = -8 + 8v + -8v Combine like terms: 8v + -8v = 0 10 + 0 = -8 + 8v + -8v 10 = -8 + 8v + -8v Combine like terms: 8v + -8v = 0 10 = -8 + 0 10 = -8 Solving 10 = -8 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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