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Simplifying 2(5s + -2) + -3(25 + 7) = 200s + -1201 Reorder the terms: 2(-2 + 5s) + -3(25 + 7) = 200s + -1201 (-2 * 2 + 5s * 2) + -3(25 + 7) = 200s + -1201 (-4 + 10s) + -3(25 + 7) = 200s + -1201 Combine like terms: 25 + 7 = 32 -4 + 10s + -3(32) = 200s + -1201 Multiply -3 * 32 -4 + 10s + -96 = 200s + -1201 Reorder the terms: -4 + -96 + 10s = 200s + -1201 Combine like terms: -4 + -96 = -100 -100 + 10s = 200s + -1201 Reorder the terms: -100 + 10s = -1201 + 200s Solving -100 + 10s = -1201 + 200s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-200s' to each side of the equation. -100 + 10s + -200s = -1201 + 200s + -200s Combine like terms: 10s + -200s = -190s -100 + -190s = -1201 + 200s + -200s Combine like terms: 200s + -200s = 0 -100 + -190s = -1201 + 0 -100 + -190s = -1201 Add '100' to each side of the equation. -100 + 100 + -190s = -1201 + 100 Combine like terms: -100 + 100 = 0 0 + -190s = -1201 + 100 -190s = -1201 + 100 Combine like terms: -1201 + 100 = -1101 -190s = -1101 Divide each side by '-190'. s = 5.794736842 Simplifying s = 5.794736842
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