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Simplifying -2(4s + -5) + -10 = -3(9s + 6) + -3 Reorder the terms: -2(-5 + 4s) + -10 = -3(9s + 6) + -3 (-5 * -2 + 4s * -2) + -10 = -3(9s + 6) + -3 (10 + -8s) + -10 = -3(9s + 6) + -3 Reorder the terms: 10 + -10 + -8s = -3(9s + 6) + -3 Combine like terms: 10 + -10 = 0 0 + -8s = -3(9s + 6) + -3 -8s = -3(9s + 6) + -3 Reorder the terms: -8s = -3(6 + 9s) + -3 -8s = (6 * -3 + 9s * -3) + -3 -8s = (-18 + -27s) + -3 Reorder the terms: -8s = -18 + -3 + -27s Combine like terms: -18 + -3 = -21 -8s = -21 + -27s Solving -8s = -21 + -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. -8s + 27s = -21 + -27s + 27s Combine like terms: -8s + 27s = 19s 19s = -21 + -27s + 27s Combine like terms: -27s + 27s = 0 19s = -21 + 0 19s = -21 Divide each side by '19'. s = -1.105263158 Simplifying s = -1.105263158
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