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Simplifying 3(9s + 5) + -12s = 3(5s + 5) + -17 Reorder the terms: 3(5 + 9s) + -12s = 3(5s + 5) + -17 (5 * 3 + 9s * 3) + -12s = 3(5s + 5) + -17 (15 + 27s) + -12s = 3(5s + 5) + -17 Combine like terms: 27s + -12s = 15s 15 + 15s = 3(5s + 5) + -17 Reorder the terms: 15 + 15s = 3(5 + 5s) + -17 15 + 15s = (5 * 3 + 5s * 3) + -17 15 + 15s = (15 + 15s) + -17 Reorder the terms: 15 + 15s = 15 + -17 + 15s Combine like terms: 15 + -17 = -2 15 + 15s = -2 + 15s Add '-15s' to each side of the equation. 15 + 15s + -15s = -2 + 15s + -15s Combine like terms: 15s + -15s = 0 15 + 0 = -2 + 15s + -15s 15 = -2 + 15s + -15s Combine like terms: 15s + -15s = 0 15 = -2 + 0 15 = -2 Solving 15 = -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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