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Simplifying -2(4s + -6) + -12 = -2(7s + 6) + -3 Reorder the terms: -2(-6 + 4s) + -12 = -2(7s + 6) + -3 (-6 * -2 + 4s * -2) + -12 = -2(7s + 6) + -3 (12 + -8s) + -12 = -2(7s + 6) + -3 Reorder the terms: 12 + -12 + -8s = -2(7s + 6) + -3 Combine like terms: 12 + -12 = 0 0 + -8s = -2(7s + 6) + -3 -8s = -2(7s + 6) + -3 Reorder the terms: -8s = -2(6 + 7s) + -3 -8s = (6 * -2 + 7s * -2) + -3 -8s = (-12 + -14s) + -3 Reorder the terms: -8s = -12 + -3 + -14s Combine like terms: -12 + -3 = -15 -8s = -15 + -14s Solving -8s = -15 + -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. -8s + 14s = -15 + -14s + 14s Combine like terms: -8s + 14s = 6s 6s = -15 + -14s + 14s Combine like terms: -14s + 14s = 0 6s = -15 + 0 6s = -15 Divide each side by '6'. s = -2.5 Simplifying s = -2.5
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