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Simplifying 7(v + 6) + 8v = 15v + -24 Reorder the terms: 7(6 + v) + 8v = 15v + -24 (6 * 7 + v * 7) + 8v = 15v + -24 (42 + 7v) + 8v = 15v + -24 Combine like terms: 7v + 8v = 15v 42 + 15v = 15v + -24 Reorder the terms: 42 + 15v = -24 + 15v Add '-15v' to each side of the equation. 42 + 15v + -15v = -24 + 15v + -15v Combine like terms: 15v + -15v = 0 42 + 0 = -24 + 15v + -15v 42 = -24 + 15v + -15v Combine like terms: 15v + -15v = 0 42 = -24 + 0 42 = -24 Solving 42 = -24 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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