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Simplifying -3(2s + -4) + -12 = -2(9s + 2) + -3 Reorder the terms: -3(-4 + 2s) + -12 = -2(9s + 2) + -3 (-4 * -3 + 2s * -3) + -12 = -2(9s + 2) + -3 (12 + -6s) + -12 = -2(9s + 2) + -3 Reorder the terms: 12 + -12 + -6s = -2(9s + 2) + -3 Combine like terms: 12 + -12 = 0 0 + -6s = -2(9s + 2) + -3 -6s = -2(9s + 2) + -3 Reorder the terms: -6s = -2(2 + 9s) + -3 -6s = (2 * -2 + 9s * -2) + -3 -6s = (-4 + -18s) + -3 Reorder the terms: -6s = -4 + -3 + -18s Combine like terms: -4 + -3 = -7 -6s = -7 + -18s Solving -6s = -7 + -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. -6s + 18s = -7 + -18s + 18s Combine like terms: -6s + 18s = 12s 12s = -7 + -18s + 18s Combine like terms: -18s + 18s = 0 12s = -7 + 0 12s = -7 Divide each side by '12'. s = -0.5833333333 Simplifying s = -0.5833333333
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