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Simplifying 10(v + 4) + -4v = 3(2v + 1) + -4 Reorder the terms: 10(4 + v) + -4v = 3(2v + 1) + -4 (4 * 10 + v * 10) + -4v = 3(2v + 1) + -4 (40 + 10v) + -4v = 3(2v + 1) + -4 Combine like terms: 10v + -4v = 6v 40 + 6v = 3(2v + 1) + -4 Reorder the terms: 40 + 6v = 3(1 + 2v) + -4 40 + 6v = (1 * 3 + 2v * 3) + -4 40 + 6v = (3 + 6v) + -4 Reorder the terms: 40 + 6v = 3 + -4 + 6v Combine like terms: 3 + -4 = -1 40 + 6v = -1 + 6v Add '-6v' to each side of the equation. 40 + 6v + -6v = -1 + 6v + -6v Combine like terms: 6v + -6v = 0 40 + 0 = -1 + 6v + -6v 40 = -1 + 6v + -6v Combine like terms: 6v + -6v = 0 40 = -1 + 0 40 = -1 Solving 40 = -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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