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Simplifying -2(4s + -6) + -12 = -2(6s + 7) + -2 Reorder the terms: -2(-6 + 4s) + -12 = -2(6s + 7) + -2 (-6 * -2 + 4s * -2) + -12 = -2(6s + 7) + -2 (12 + -8s) + -12 = -2(6s + 7) + -2 Reorder the terms: 12 + -12 + -8s = -2(6s + 7) + -2 Combine like terms: 12 + -12 = 0 0 + -8s = -2(6s + 7) + -2 -8s = -2(6s + 7) + -2 Reorder the terms: -8s = -2(7 + 6s) + -2 -8s = (7 * -2 + 6s * -2) + -2 -8s = (-14 + -12s) + -2 Reorder the terms: -8s = -14 + -2 + -12s Combine like terms: -14 + -2 = -16 -8s = -16 + -12s Solving -8s = -16 + -12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '12s' to each side of the equation. -8s + 12s = -16 + -12s + 12s Combine like terms: -8s + 12s = 4s 4s = -16 + -12s + 12s Combine like terms: -12s + 12s = 0 4s = -16 + 0 4s = -16 Divide each side by '4'. s = -4 Simplifying s = -4
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