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Simplifying 3(5s + 5) + -9s = 3(2s + 6) + -23 Reorder the terms: 3(5 + 5s) + -9s = 3(2s + 6) + -23 (5 * 3 + 5s * 3) + -9s = 3(2s + 6) + -23 (15 + 15s) + -9s = 3(2s + 6) + -23 Combine like terms: 15s + -9s = 6s 15 + 6s = 3(2s + 6) + -23 Reorder the terms: 15 + 6s = 3(6 + 2s) + -23 15 + 6s = (6 * 3 + 2s * 3) + -23 15 + 6s = (18 + 6s) + -23 Reorder the terms: 15 + 6s = 18 + -23 + 6s Combine like terms: 18 + -23 = -5 15 + 6s = -5 + 6s Add '-6s' to each side of the equation. 15 + 6s + -6s = -5 + 6s + -6s Combine like terms: 6s + -6s = 0 15 + 0 = -5 + 6s + -6s 15 = -5 + 6s + -6s Combine like terms: 6s + -6s = 0 15 = -5 + 0 15 = -5 Solving 15 = -5 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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