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Simplifying 3(9s + 2) + -12s = 3(5s + 1) + -6 Reorder the terms: 3(2 + 9s) + -12s = 3(5s + 1) + -6 (2 * 3 + 9s * 3) + -12s = 3(5s + 1) + -6 (6 + 27s) + -12s = 3(5s + 1) + -6 Combine like terms: 27s + -12s = 15s 6 + 15s = 3(5s + 1) + -6 Reorder the terms: 6 + 15s = 3(1 + 5s) + -6 6 + 15s = (1 * 3 + 5s * 3) + -6 6 + 15s = (3 + 15s) + -6 Reorder the terms: 6 + 15s = 3 + -6 + 15s Combine like terms: 3 + -6 = -3 6 + 15s = -3 + 15s Add '-15s' to each side of the equation. 6 + 15s + -15s = -3 + 15s + -15s Combine like terms: 15s + -15s = 0 6 + 0 = -3 + 15s + -15s 6 = -3 + 15s + -15s Combine like terms: 15s + -15s = 0 6 = -3 + 0 6 = -3 Solving 6 = -3 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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