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Simplifying 10(v + 1) + -4v = 2(3v + 4) + -15 Reorder the terms: 10(1 + v) + -4v = 2(3v + 4) + -15 (1 * 10 + v * 10) + -4v = 2(3v + 4) + -15 (10 + 10v) + -4v = 2(3v + 4) + -15 Combine like terms: 10v + -4v = 6v 10 + 6v = 2(3v + 4) + -15 Reorder the terms: 10 + 6v = 2(4 + 3v) + -15 10 + 6v = (4 * 2 + 3v * 2) + -15 10 + 6v = (8 + 6v) + -15 Reorder the terms: 10 + 6v = 8 + -15 + 6v Combine like terms: 8 + -15 = -7 10 + 6v = -7 + 6v Add '-6v' to each side of the equation. 10 + 6v + -6v = -7 + 6v + -6v Combine like terms: 6v + -6v = 0 10 + 0 = -7 + 6v + -6v 10 = -7 + 6v + -6v Combine like terms: 6v + -6v = 0 10 = -7 + 0 10 = -7 Solving 10 = -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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