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Simplifying 8(5s + -2) + -9(2s + 7) = 200s + -969 Reorder the terms: 8(-2 + 5s) + -9(2s + 7) = 200s + -969 (-2 * 8 + 5s * 8) + -9(2s + 7) = 200s + -969 (-16 + 40s) + -9(2s + 7) = 200s + -969 Reorder the terms: -16 + 40s + -9(7 + 2s) = 200s + -969 -16 + 40s + (7 * -9 + 2s * -9) = 200s + -969 -16 + 40s + (-63 + -18s) = 200s + -969 Reorder the terms: -16 + -63 + 40s + -18s = 200s + -969 Combine like terms: -16 + -63 = -79 -79 + 40s + -18s = 200s + -969 Combine like terms: 40s + -18s = 22s -79 + 22s = 200s + -969 Reorder the terms: -79 + 22s = -969 + 200s Solving -79 + 22s = -969 + 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. -79 + 22s + -200s = -969 + 200s + -200s Combine like terms: 22s + -200s = -178s -79 + -178s = -969 + 200s + -200s Combine like terms: 200s + -200s = 0 -79 + -178s = -969 + 0 -79 + -178s = -969 Add '79' to each side of the equation. -79 + 79 + -178s = -969 + 79 Combine like terms: -79 + 79 = 0 0 + -178s = -969 + 79 -178s = -969 + 79 Combine like terms: -969 + 79 = -890 -178s = -890 Divide each side by '-178'. s = 5 Simplifying s = 5
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