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Simplifying -2(3s + -3) + -6 = -3(4s + 5) + -5 Reorder the terms: -2(-3 + 3s) + -6 = -3(4s + 5) + -5 (-3 * -2 + 3s * -2) + -6 = -3(4s + 5) + -5 (6 + -6s) + -6 = -3(4s + 5) + -5 Reorder the terms: 6 + -6 + -6s = -3(4s + 5) + -5 Combine like terms: 6 + -6 = 0 0 + -6s = -3(4s + 5) + -5 -6s = -3(4s + 5) + -5 Reorder the terms: -6s = -3(5 + 4s) + -5 -6s = (5 * -3 + 4s * -3) + -5 -6s = (-15 + -12s) + -5 Reorder the terms: -6s = -15 + -5 + -12s Combine like terms: -15 + -5 = -20 -6s = -20 + -12s Solving -6s = -20 + -12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '12s' to each side of the equation. -6s + 12s = -20 + -12s + 12s Combine like terms: -6s + 12s = 6s 6s = -20 + -12s + 12s Combine like terms: -12s + 12s = 0 6s = -20 + 0 6s = -20 Divide each side by '6'. s = -3.333333333 Simplifying s = -3.333333333
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