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Simplifying 10(v + 3) + -2v = 2(4v + 3) + -7 Reorder the terms: 10(3 + v) + -2v = 2(4v + 3) + -7 (3 * 10 + v * 10) + -2v = 2(4v + 3) + -7 (30 + 10v) + -2v = 2(4v + 3) + -7 Combine like terms: 10v + -2v = 8v 30 + 8v = 2(4v + 3) + -7 Reorder the terms: 30 + 8v = 2(3 + 4v) + -7 30 + 8v = (3 * 2 + 4v * 2) + -7 30 + 8v = (6 + 8v) + -7 Reorder the terms: 30 + 8v = 6 + -7 + 8v Combine like terms: 6 + -7 = -1 30 + 8v = -1 + 8v Add '-8v' to each side of the equation. 30 + 8v + -8v = -1 + 8v + -8v Combine like terms: 8v + -8v = 0 30 + 0 = -1 + 8v + -8v 30 = -1 + 8v + -8v Combine like terms: 8v + -8v = 0 30 = -1 + 0 30 = -1 Solving 30 = -1 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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