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Simplifying -1(20 + -3S) + -1(8S + 1) = 34 (20 * -1 + -3S * -1) + -1(8S + 1) = 34 (-20 + 3S) + -1(8S + 1) = 34 Reorder the terms: -20 + 3S + -1(1 + 8S) = 34 -20 + 3S + (1 * -1 + 8S * -1) = 34 -20 + 3S + (-1 + -8S) = 34 Reorder the terms: -20 + -1 + 3S + -8S = 34 Combine like terms: -20 + -1 = -21 -21 + 3S + -8S = 34 Combine like terms: 3S + -8S = -5S -21 + -5S = 34 Solving -21 + -5S = 34 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -5S = 34 + 21 Combine like terms: -21 + 21 = 0 0 + -5S = 34 + 21 -5S = 34 + 21 Combine like terms: 34 + 21 = 55 -5S = 55 Divide each side by '-5'. S = -11 Simplifying S = -11
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