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Simplifying -2(3s + -3) + -6 = -3(6s + 7) + -3 Reorder the terms: -2(-3 + 3s) + -6 = -3(6s + 7) + -3 (-3 * -2 + 3s * -2) + -6 = -3(6s + 7) + -3 (6 + -6s) + -6 = -3(6s + 7) + -3 Reorder the terms: 6 + -6 + -6s = -3(6s + 7) + -3 Combine like terms: 6 + -6 = 0 0 + -6s = -3(6s + 7) + -3 -6s = -3(6s + 7) + -3 Reorder the terms: -6s = -3(7 + 6s) + -3 -6s = (7 * -3 + 6s * -3) + -3 -6s = (-21 + -18s) + -3 Reorder the terms: -6s = -21 + -3 + -18s Combine like terms: -21 + -3 = -24 -6s = -24 + -18s Solving -6s = -24 + -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 = -24 + -18s + 18s Combine like terms: -6s + 18s = 12s 12s = -24 + -18s + 18s Combine like terms: -18s + 18s = 0 12s = -24 + 0 12s = -24 Divide each side by '12'. s = -2 Simplifying s = -2
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