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Simplifying -3(3s + -2) + -6 = -2(6s + 10) + -2 Reorder the terms: -3(-2 + 3s) + -6 = -2(6s + 10) + -2 (-2 * -3 + 3s * -3) + -6 = -2(6s + 10) + -2 (6 + -9s) + -6 = -2(6s + 10) + -2 Reorder the terms: 6 + -6 + -9s = -2(6s + 10) + -2 Combine like terms: 6 + -6 = 0 0 + -9s = -2(6s + 10) + -2 -9s = -2(6s + 10) + -2 Reorder the terms: -9s = -2(10 + 6s) + -2 -9s = (10 * -2 + 6s * -2) + -2 -9s = (-20 + -12s) + -2 Reorder the terms: -9s = -20 + -2 + -12s Combine like terms: -20 + -2 = -22 -9s = -22 + -12s Solving -9s = -22 + -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. -9s + 12s = -22 + -12s + 12s Combine like terms: -9s + 12s = 3s 3s = -22 + -12s + 12s Combine like terms: -12s + 12s = 0 3s = -22 + 0 3s = -22 Divide each side by '3'. s = -7.333333333 Simplifying s = -7.333333333
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