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Simplifying -2(3s + -5) + -10 = -3(9s + 1) + -3 Reorder the terms: -2(-5 + 3s) + -10 = -3(9s + 1) + -3 (-5 * -2 + 3s * -2) + -10 = -3(9s + 1) + -3 (10 + -6s) + -10 = -3(9s + 1) + -3 Reorder the terms: 10 + -10 + -6s = -3(9s + 1) + -3 Combine like terms: 10 + -10 = 0 0 + -6s = -3(9s + 1) + -3 -6s = -3(9s + 1) + -3 Reorder the terms: -6s = -3(1 + 9s) + -3 -6s = (1 * -3 + 9s * -3) + -3 -6s = (-3 + -27s) + -3 Reorder the terms: -6s = -3 + -3 + -27s Combine like terms: -3 + -3 = -6 -6s = -6 + -27s Solving -6s = -6 + -27s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '27s' to each side of the equation. -6s + 27s = -6 + -27s + 27s Combine like terms: -6s + 27s = 21s 21s = -6 + -27s + 27s Combine like terms: -27s + 27s = 0 21s = -6 + 0 21s = -6 Divide each side by '21'. s = -0.2857142857 Simplifying s = -0.2857142857
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