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Simplifying 6(5s + -14) + -12(2s + 8) = 0 Reorder the terms: 6(-14 + 5s) + -12(2s + 8) = 0 (-14 * 6 + 5s * 6) + -12(2s + 8) = 0 (-84 + 30s) + -12(2s + 8) = 0 Reorder the terms: -84 + 30s + -12(8 + 2s) = 0 -84 + 30s + (8 * -12 + 2s * -12) = 0 -84 + 30s + (-96 + -24s) = 0 Reorder the terms: -84 + -96 + 30s + -24s = 0 Combine like terms: -84 + -96 = -180 -180 + 30s + -24s = 0 Combine like terms: 30s + -24s = 6s -180 + 6s = 0 Solving -180 + 6s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '180' to each side of the equation. -180 + 180 + 6s = 0 + 180 Combine like terms: -180 + 180 = 0 0 + 6s = 0 + 180 6s = 0 + 180 Combine like terms: 0 + 180 = 180 6s = 180 Divide each side by '6'. s = 30 Simplifying s = 30
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