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Simplifying 8S + 4S + -18 = 9S + -12 + -1D + 1 Reorder the terms: -18 + 8S + 4S = 9S + -12 + -1D + 1 Combine like terms: 8S + 4S = 12S -18 + 12S = 9S + -12 + -1D + 1 Reorder the terms: -18 + 12S = -12 + 1 + -1D + 9S Combine like terms: -12 + 1 = -11 -18 + 12S = -11 + -1D + 9S Solving -18 + 12S = -11 + -1D + 9S Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '-9S' to each side of the equation. -18 + 12S + -9S = -11 + -1D + 9S + -9S Combine like terms: 12S + -9S = 3S -18 + 3S = -11 + -1D + 9S + -9S Combine like terms: 9S + -9S = 0 -18 + 3S = -11 + -1D + 0 -18 + 3S = -11 + -1D Add '18' to each side of the equation. -18 + 18 + 3S = -11 + 18 + -1D Combine like terms: -18 + 18 = 0 0 + 3S = -11 + 18 + -1D 3S = -11 + 18 + -1D Combine like terms: -11 + 18 = 7 3S = 7 + -1D Divide each side by '3'. S = 2.333333333 + -0.3333333333D Simplifying S = 2.333333333 + -0.3333333333D
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