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Simplifying 10(v + 3) + -4v = 3(2v + 1) + -8 Reorder the terms: 10(3 + v) + -4v = 3(2v + 1) + -8 (3 * 10 + v * 10) + -4v = 3(2v + 1) + -8 (30 + 10v) + -4v = 3(2v + 1) + -8 Combine like terms: 10v + -4v = 6v 30 + 6v = 3(2v + 1) + -8 Reorder the terms: 30 + 6v = 3(1 + 2v) + -8 30 + 6v = (1 * 3 + 2v * 3) + -8 30 + 6v = (3 + 6v) + -8 Reorder the terms: 30 + 6v = 3 + -8 + 6v Combine like terms: 3 + -8 = -5 30 + 6v = -5 + 6v Add '-6v' to each side of the equation. 30 + 6v + -6v = -5 + 6v + -6v Combine like terms: 6v + -6v = 0 30 + 0 = -5 + 6v + -6v 30 = -5 + 6v + -6v Combine like terms: 6v + -6v = 0 30 = -5 + 0 30 = -5 Solving 30 = -5 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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