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Simplifying -3(4s + -2) + -6 = -2(9s + 6) + -3 Reorder the terms: -3(-2 + 4s) + -6 = -2(9s + 6) + -3 (-2 * -3 + 4s * -3) + -6 = -2(9s + 6) + -3 (6 + -12s) + -6 = -2(9s + 6) + -3 Reorder the terms: 6 + -6 + -12s = -2(9s + 6) + -3 Combine like terms: 6 + -6 = 0 0 + -12s = -2(9s + 6) + -3 -12s = -2(9s + 6) + -3 Reorder the terms: -12s = -2(6 + 9s) + -3 -12s = (6 * -2 + 9s * -2) + -3 -12s = (-12 + -18s) + -3 Reorder the terms: -12s = -12 + -3 + -18s Combine like terms: -12 + -3 = -15 -12s = -15 + -18s Solving -12s = -15 + -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. -12s + 18s = -15 + -18s + 18s Combine like terms: -12s + 18s = 6s 6s = -15 + -18s + 18s Combine like terms: -18s + 18s = 0 6s = -15 + 0 6s = -15 Divide each side by '6'. s = -2.5 Simplifying s = -2.5
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