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Simplifying 12(v + 4) + -4v = 2(4v + 4) + -10 Reorder the terms: 12(4 + v) + -4v = 2(4v + 4) + -10 (4 * 12 + v * 12) + -4v = 2(4v + 4) + -10 (48 + 12v) + -4v = 2(4v + 4) + -10 Combine like terms: 12v + -4v = 8v 48 + 8v = 2(4v + 4) + -10 Reorder the terms: 48 + 8v = 2(4 + 4v) + -10 48 + 8v = (4 * 2 + 4v * 2) + -10 48 + 8v = (8 + 8v) + -10 Reorder the terms: 48 + 8v = 8 + -10 + 8v Combine like terms: 8 + -10 = -2 48 + 8v = -2 + 8v Add '-8v' to each side of the equation. 48 + 8v + -8v = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 48 + 0 = -2 + 8v + -8v 48 = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 48 = -2 + 0 48 = -2 Solving 48 = -2 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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