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Simplifying -2(3s + -6) + -12 = -3(8s + 1) + 4 Reorder the terms: -2(-6 + 3s) + -12 = -3(8s + 1) + 4 (-6 * -2 + 3s * -2) + -12 = -3(8s + 1) + 4 (12 + -6s) + -12 = -3(8s + 1) + 4 Reorder the terms: 12 + -12 + -6s = -3(8s + 1) + 4 Combine like terms: 12 + -12 = 0 0 + -6s = -3(8s + 1) + 4 -6s = -3(8s + 1) + 4 Reorder the terms: -6s = -3(1 + 8s) + 4 -6s = (1 * -3 + 8s * -3) + 4 -6s = (-3 + -24s) + 4 Reorder the terms: -6s = -3 + 4 + -24s Combine like terms: -3 + 4 = 1 -6s = 1 + -24s Solving -6s = 1 + -24s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '24s' to each side of the equation. -6s + 24s = 1 + -24s + 24s Combine like terms: -6s + 24s = 18s 18s = 1 + -24s + 24s Combine like terms: -24s + 24s = 0 18s = 1 + 0 18s = 1 Divide each side by '18'. s = 0.05555555556 Simplifying s = 0.05555555556
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