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Simplifying 8(v + 1) + -2v = 3(2v + 4) + -21 Reorder the terms: 8(1 + v) + -2v = 3(2v + 4) + -21 (1 * 8 + v * 8) + -2v = 3(2v + 4) + -21 (8 + 8v) + -2v = 3(2v + 4) + -21 Combine like terms: 8v + -2v = 6v 8 + 6v = 3(2v + 4) + -21 Reorder the terms: 8 + 6v = 3(4 + 2v) + -21 8 + 6v = (4 * 3 + 2v * 3) + -21 8 + 6v = (12 + 6v) + -21 Reorder the terms: 8 + 6v = 12 + -21 + 6v Combine like terms: 12 + -21 = -9 8 + 6v = -9 + 6v Add '-6v' to each side of the equation. 8 + 6v + -6v = -9 + 6v + -6v Combine like terms: 6v + -6v = 0 8 + 0 = -9 + 6v + -6v 8 = -9 + 6v + -6v Combine like terms: 6v + -6v = 0 8 = -9 + 0 8 = -9 Solving 8 = -9 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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