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Simplifying 500 = 45s + 35(12 + -5) Combine like terms: 12 + -5 = 7 500 = 45s + 35(7) Multiply 35 * 7 500 = 45s + 245 Reorder the terms: 500 = 245 + 45s Solving 500 = 245 + 45s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-45s' to each side of the equation. 500 + -45s = 245 + 45s + -45s Combine like terms: 45s + -45s = 0 500 + -45s = 245 + 0 500 + -45s = 245 Add '-500' to each side of the equation. 500 + -500 + -45s = 245 + -500 Combine like terms: 500 + -500 = 0 0 + -45s = 245 + -500 -45s = 245 + -500 Combine like terms: 245 + -500 = -255 -45s = -255 Divide each side by '-45'. s = 5.666666667 Simplifying s = 5.666666667
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