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Simplifying 18(v + 4) + -2v = 4(4v + 4) + -21 Reorder the terms: 18(4 + v) + -2v = 4(4v + 4) + -21 (4 * 18 + v * 18) + -2v = 4(4v + 4) + -21 (72 + 18v) + -2v = 4(4v + 4) + -21 Combine like terms: 18v + -2v = 16v 72 + 16v = 4(4v + 4) + -21 Reorder the terms: 72 + 16v = 4(4 + 4v) + -21 72 + 16v = (4 * 4 + 4v * 4) + -21 72 + 16v = (16 + 16v) + -21 Reorder the terms: 72 + 16v = 16 + -21 + 16v Combine like terms: 16 + -21 = -5 72 + 16v = -5 + 16v Add '-16v' to each side of the equation. 72 + 16v + -16v = -5 + 16v + -16v Combine like terms: 16v + -16v = 0 72 + 0 = -5 + 16v + -16v 72 = -5 + 16v + -16v Combine like terms: 16v + -16v = 0 72 = -5 + 0 72 = -5 Solving 72 = -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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