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Simplifying 2(9S + 10) + -35 = 3(5S + 6) + -23 Reorder the terms: 2(10 + 9S) + -35 = 3(5S + 6) + -23 (10 * 2 + 9S * 2) + -35 = 3(5S + 6) + -23 (20 + 18S) + -35 = 3(5S + 6) + -23 Reorder the terms: 20 + -35 + 18S = 3(5S + 6) + -23 Combine like terms: 20 + -35 = -15 -15 + 18S = 3(5S + 6) + -23 Reorder the terms: -15 + 18S = 3(6 + 5S) + -23 -15 + 18S = (6 * 3 + 5S * 3) + -23 -15 + 18S = (18 + 15S) + -23 Reorder the terms: -15 + 18S = 18 + -23 + 15S Combine like terms: 18 + -23 = -5 -15 + 18S = -5 + 15S Solving -15 + 18S = -5 + 15S Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '-15S' to each side of the equation. -15 + 18S + -15S = -5 + 15S + -15S Combine like terms: 18S + -15S = 3S -15 + 3S = -5 + 15S + -15S Combine like terms: 15S + -15S = 0 -15 + 3S = -5 + 0 -15 + 3S = -5 Add '15' to each side of the equation. -15 + 15 + 3S = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 3S = -5 + 15 3S = -5 + 15 Combine like terms: -5 + 15 = 10 3S = 10 Divide each side by '3'. S = 3.333333333 Simplifying S = 3.333333333
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