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Simplifying 6(5s + -13) + -12(2s + 9) = 0 Reorder the terms: 6(-13 + 5s) + -12(2s + 9) = 0 (-13 * 6 + 5s * 6) + -12(2s + 9) = 0 (-78 + 30s) + -12(2s + 9) = 0 Reorder the terms: -78 + 30s + -12(9 + 2s) = 0 -78 + 30s + (9 * -12 + 2s * -12) = 0 -78 + 30s + (-108 + -24s) = 0 Reorder the terms: -78 + -108 + 30s + -24s = 0 Combine like terms: -78 + -108 = -186 -186 + 30s + -24s = 0 Combine like terms: 30s + -24s = 6s -186 + 6s = 0 Solving -186 + 6s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '186' to each side of the equation. -186 + 186 + 6s = 0 + 186 Combine like terms: -186 + 186 = 0 0 + 6s = 0 + 186 6s = 0 + 186 Combine like terms: 0 + 186 = 186 6s = 186 Divide each side by '6'. s = 31 Simplifying s = 31
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