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Simplifying -2(4s + -6) + -12 = -3(6s + 1) + -5 Reorder the terms: -2(-6 + 4s) + -12 = -3(6s + 1) + -5 (-6 * -2 + 4s * -2) + -12 = -3(6s + 1) + -5 (12 + -8s) + -12 = -3(6s + 1) + -5 Reorder the terms: 12 + -12 + -8s = -3(6s + 1) + -5 Combine like terms: 12 + -12 = 0 0 + -8s = -3(6s + 1) + -5 -8s = -3(6s + 1) + -5 Reorder the terms: -8s = -3(1 + 6s) + -5 -8s = (1 * -3 + 6s * -3) + -5 -8s = (-3 + -18s) + -5 Reorder the terms: -8s = -3 + -5 + -18s Combine like terms: -3 + -5 = -8 -8s = -8 + -18s Solving -8s = -8 + -18s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '18s' to each side of the equation. -8s + 18s = -8 + -18s + 18s Combine like terms: -8s + 18s = 10s 10s = -8 + -18s + 18s Combine like terms: -18s + 18s = 0 10s = -8 + 0 10s = -8 Divide each side by '10'. s = -0.8 Simplifying s = -0.8
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