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Simplifying 2(9s + 10) + -3s = 3(5s + 4) + -13 Reorder the terms: 2(10 + 9s) + -3s = 3(5s + 4) + -13 (10 * 2 + 9s * 2) + -3s = 3(5s + 4) + -13 (20 + 18s) + -3s = 3(5s + 4) + -13 Combine like terms: 18s + -3s = 15s 20 + 15s = 3(5s + 4) + -13 Reorder the terms: 20 + 15s = 3(4 + 5s) + -13 20 + 15s = (4 * 3 + 5s * 3) + -13 20 + 15s = (12 + 15s) + -13 Reorder the terms: 20 + 15s = 12 + -13 + 15s Combine like terms: 12 + -13 = -1 20 + 15s = -1 + 15s Add '-15s' to each side of the equation. 20 + 15s + -15s = -1 + 15s + -15s Combine like terms: 15s + -15s = 0 20 + 0 = -1 + 15s + -15s 20 = -1 + 15s + -15s Combine like terms: 15s + -15s = 0 20 = -1 + 0 20 = -1 Solving 20 = -1 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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