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Simplifying -8n + 5(-3 + 3n) = 7(n + 8) + 8 -8n + (-3 * 5 + 3n * 5) = 7(n + 8) + 8 -8n + (-15 + 15n) = 7(n + 8) + 8 Reorder the terms: -15 + -8n + 15n = 7(n + 8) + 8 Combine like terms: -8n + 15n = 7n -15 + 7n = 7(n + 8) + 8 Reorder the terms: -15 + 7n = 7(8 + n) + 8 -15 + 7n = (8 * 7 + n * 7) + 8 -15 + 7n = (56 + 7n) + 8 Reorder the terms: -15 + 7n = 56 + 8 + 7n Combine like terms: 56 + 8 = 64 -15 + 7n = 64 + 7n Add '-7n' to each side of the equation. -15 + 7n + -7n = 64 + 7n + -7n Combine like terms: 7n + -7n = 0 -15 + 0 = 64 + 7n + -7n -15 = 64 + 7n + -7n Combine like terms: 7n + -7n = 0 -15 = 64 + 0 -15 = 64 Solving -15 = 64 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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