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Simplifying 3(6S + 3) + -8S = 2(5S + 5) + -14 Reorder the terms: 3(3 + 6S) + -8S = 2(5S + 5) + -14 (3 * 3 + 6S * 3) + -8S = 2(5S + 5) + -14 (9 + 18S) + -8S = 2(5S + 5) + -14 Combine like terms: 18S + -8S = 10S 9 + 10S = 2(5S + 5) + -14 Reorder the terms: 9 + 10S = 2(5 + 5S) + -14 9 + 10S = (5 * 2 + 5S * 2) + -14 9 + 10S = (10 + 10S) + -14 Reorder the terms: 9 + 10S = 10 + -14 + 10S Combine like terms: 10 + -14 = -4 9 + 10S = -4 + 10S Add '-10S' to each side of the equation. 9 + 10S + -10S = -4 + 10S + -10S Combine like terms: 10S + -10S = 0 9 + 0 = -4 + 10S + -10S 9 = -4 + 10S + -10S Combine like terms: 10S + -10S = 0 9 = -4 + 0 9 = -4 Solving 9 = -4 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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