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Simplifying 2(9s + 7) + -10s = 2(4s + 5) + -12 Reorder the terms: 2(7 + 9s) + -10s = 2(4s + 5) + -12 (7 * 2 + 9s * 2) + -10s = 2(4s + 5) + -12 (14 + 18s) + -10s = 2(4s + 5) + -12 Combine like terms: 18s + -10s = 8s 14 + 8s = 2(4s + 5) + -12 Reorder the terms: 14 + 8s = 2(5 + 4s) + -12 14 + 8s = (5 * 2 + 4s * 2) + -12 14 + 8s = (10 + 8s) + -12 Reorder the terms: 14 + 8s = 10 + -12 + 8s Combine like terms: 10 + -12 = -2 14 + 8s = -2 + 8s Add '-8s' to each side of the equation. 14 + 8s + -8s = -2 + 8s + -8s Combine like terms: 8s + -8s = 0 14 + 0 = -2 + 8s + -8s 14 = -2 + 8s + -8s Combine like terms: 8s + -8s = 0 14 = -2 + 0 14 = -2 Solving 14 = -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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