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Simplifying -3(2s + -4) + -12 = -2(7s + 1) + -3 Reorder the terms: -3(-4 + 2s) + -12 = -2(7s + 1) + -3 (-4 * -3 + 2s * -3) + -12 = -2(7s + 1) + -3 (12 + -6s) + -12 = -2(7s + 1) + -3 Reorder the terms: 12 + -12 + -6s = -2(7s + 1) + -3 Combine like terms: 12 + -12 = 0 0 + -6s = -2(7s + 1) + -3 -6s = -2(7s + 1) + -3 Reorder the terms: -6s = -2(1 + 7s) + -3 -6s = (1 * -2 + 7s * -2) + -3 -6s = (-2 + -14s) + -3 Reorder the terms: -6s = -2 + -3 + -14s Combine like terms: -2 + -3 = -5 -6s = -5 + -14s Solving -6s = -5 + -14s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '14s' to each side of the equation. -6s + 14s = -5 + -14s + 14s Combine like terms: -6s + 14s = 8s 8s = -5 + -14s + 14s Combine like terms: -14s + 14s = 0 8s = -5 + 0 8s = -5 Divide each side by '8'. s = -0.625 Simplifying s = -0.625
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