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Simplifying 45 + -3S + 45 + -3S + 1S + 1S = 42 Reorder the terms: 45 + 45 + -3S + -3S + 1S + 1S = 42 Combine like terms: 45 + 45 = 90 90 + -3S + -3S + 1S + 1S = 42 Combine like terms: -3S + -3S = -6S 90 + -6S + 1S + 1S = 42 Combine like terms: -6S + 1S = -5S 90 + -5S + 1S = 42 Combine like terms: -5S + 1S = -4S 90 + -4S = 42 Solving 90 + -4S = 42 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -4S = 42 + -90 Combine like terms: 90 + -90 = 0 0 + -4S = 42 + -90 -4S = 42 + -90 Combine like terms: 42 + -90 = -48 -4S = -48 Divide each side by '-4'. S = 12 Simplifying S = 12
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