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Simplifying 2(9s + 10) + -8s = 2(5s + 6) + -13 Reorder the terms: 2(10 + 9s) + -8s = 2(5s + 6) + -13 (10 * 2 + 9s * 2) + -8s = 2(5s + 6) + -13 (20 + 18s) + -8s = 2(5s + 6) + -13 Combine like terms: 18s + -8s = 10s 20 + 10s = 2(5s + 6) + -13 Reorder the terms: 20 + 10s = 2(6 + 5s) + -13 20 + 10s = (6 * 2 + 5s * 2) + -13 20 + 10s = (12 + 10s) + -13 Reorder the terms: 20 + 10s = 12 + -13 + 10s Combine like terms: 12 + -13 = -1 20 + 10s = -1 + 10s Add '-10s' to each side of the equation. 20 + 10s + -10s = -1 + 10s + -10s Combine like terms: 10s + -10s = 0 20 + 0 = -1 + 10s + -10s 20 = -1 + 10s + -10s Combine like terms: 10s + -10s = 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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