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Simplifying -3(3s + -2) + -6 = -2(8s + 5) + -3 Reorder the terms: -3(-2 + 3s) + -6 = -2(8s + 5) + -3 (-2 * -3 + 3s * -3) + -6 = -2(8s + 5) + -3 (6 + -9s) + -6 = -2(8s + 5) + -3 Reorder the terms: 6 + -6 + -9s = -2(8s + 5) + -3 Combine like terms: 6 + -6 = 0 0 + -9s = -2(8s + 5) + -3 -9s = -2(8s + 5) + -3 Reorder the terms: -9s = -2(5 + 8s) + -3 -9s = (5 * -2 + 8s * -2) + -3 -9s = (-10 + -16s) + -3 Reorder the terms: -9s = -10 + -3 + -16s Combine like terms: -10 + -3 = -13 -9s = -13 + -16s Solving -9s = -13 + -16s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '16s' to each side of the equation. -9s + 16s = -13 + -16s + 16s Combine like terms: -9s + 16s = 7s 7s = -13 + -16s + 16s Combine like terms: -16s + 16s = 0 7s = -13 + 0 7s = -13 Divide each side by '7'. s = -1.857142857 Simplifying s = -1.857142857
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