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Simplifying 6(5s + -15) + -12(2s + 8) = 0 Reorder the terms: 6(-15 + 5s) + -12(2s + 8) = 0 (-15 * 6 + 5s * 6) + -12(2s + 8) = 0 (-90 + 30s) + -12(2s + 8) = 0 Reorder the terms: -90 + 30s + -12(8 + 2s) = 0 -90 + 30s + (8 * -12 + 2s * -12) = 0 -90 + 30s + (-96 + -24s) = 0 Reorder the terms: -90 + -96 + 30s + -24s = 0 Combine like terms: -90 + -96 = -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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