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Simplifying -3(4s + -2) + -6 = -3(6s + 6) + -3 Reorder the terms: -3(-2 + 4s) + -6 = -3(6s + 6) + -3 (-2 * -3 + 4s * -3) + -6 = -3(6s + 6) + -3 (6 + -12s) + -6 = -3(6s + 6) + -3 Reorder the terms: 6 + -6 + -12s = -3(6s + 6) + -3 Combine like terms: 6 + -6 = 0 0 + -12s = -3(6s + 6) + -3 -12s = -3(6s + 6) + -3 Reorder the terms: -12s = -3(6 + 6s) + -3 -12s = (6 * -3 + 6s * -3) + -3 -12s = (-18 + -18s) + -3 Reorder the terms: -12s = -18 + -3 + -18s Combine like terms: -18 + -3 = -21 -12s = -21 + -18s Solving -12s = -21 + -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 = -21 + -18s + 18s Combine like terms: -12s + 18s = 6s 6s = -21 + -18s + 18s Combine like terms: -18s + 18s = 0 6s = -21 + 0 6s = -21 Divide each side by '6'. s = -3.5 Simplifying s = -3.5
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