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Simplifying -3(5s + -3) + -9 = -3(9s + 4) + -5 Reorder the terms: -3(-3 + 5s) + -9 = -3(9s + 4) + -5 (-3 * -3 + 5s * -3) + -9 = -3(9s + 4) + -5 (9 + -15s) + -9 = -3(9s + 4) + -5 Reorder the terms: 9 + -9 + -15s = -3(9s + 4) + -5 Combine like terms: 9 + -9 = 0 0 + -15s = -3(9s + 4) + -5 -15s = -3(9s + 4) + -5 Reorder the terms: -15s = -3(4 + 9s) + -5 -15s = (4 * -3 + 9s * -3) + -5 -15s = (-12 + -27s) + -5 Reorder the terms: -15s = -12 + -5 + -27s Combine like terms: -12 + -5 = -17 -15s = -17 + -27s Solving -15s = -17 + -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. -15s + 27s = -17 + -27s + 27s Combine like terms: -15s + 27s = 12s 12s = -17 + -27s + 27s Combine like terms: -27s + 27s = 0 12s = -17 + 0 12s = -17 Divide each side by '12'. s = -1.416666667 Simplifying s = -1.416666667
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