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Simplifying -2(4s + -6) + -12 = -2(9s + 1) + -2 Reorder the terms: -2(-6 + 4s) + -12 = -2(9s + 1) + -2 (-6 * -2 + 4s * -2) + -12 = -2(9s + 1) + -2 (12 + -8s) + -12 = -2(9s + 1) + -2 Reorder the terms: 12 + -12 + -8s = -2(9s + 1) + -2 Combine like terms: 12 + -12 = 0 0 + -8s = -2(9s + 1) + -2 -8s = -2(9s + 1) + -2 Reorder the terms: -8s = -2(1 + 9s) + -2 -8s = (1 * -2 + 9s * -2) + -2 -8s = (-2 + -18s) + -2 Reorder the terms: -8s = -2 + -2 + -18s Combine like terms: -2 + -2 = -4 -8s = -4 + -18s Solving -8s = -4 + -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 = -4 + -18s + 18s Combine like terms: -8s + 18s = 10s 10s = -4 + -18s + 18s Combine like terms: -18s + 18s = 0 10s = -4 + 0 10s = -4 Divide each side by '10'. s = -0.4 Simplifying s = -0.4
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