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Simplifying -3(5s + -2) + -6 = -3(9s + 5) + -3 Reorder the terms: -3(-2 + 5s) + -6 = -3(9s + 5) + -3 (-2 * -3 + 5s * -3) + -6 = -3(9s + 5) + -3 (6 + -15s) + -6 = -3(9s + 5) + -3 Reorder the terms: 6 + -6 + -15s = -3(9s + 5) + -3 Combine like terms: 6 + -6 = 0 0 + -15s = -3(9s + 5) + -3 -15s = -3(9s + 5) + -3 Reorder the terms: -15s = -3(5 + 9s) + -3 -15s = (5 * -3 + 9s * -3) + -3 -15s = (-15 + -27s) + -3 Reorder the terms: -15s = -15 + -3 + -27s Combine like terms: -15 + -3 = -18 -15s = -18 + -27s Solving -15s = -18 + -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 = -18 + -27s + 27s Combine like terms: -15s + 27s = 12s 12s = -18 + -27s + 27s Combine like terms: -27s + 27s = 0 12s = -18 + 0 12s = -18 Divide each side by '12'. s = -1.5 Simplifying s = -1.5
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