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Simplifying 9(3s + -5) = 5(4 + 3s) Reorder the terms: 9(-5 + 3s) = 5(4 + 3s) (-5 * 9 + 3s * 9) = 5(4 + 3s) (-45 + 27s) = 5(4 + 3s) -45 + 27s = (4 * 5 + 3s * 5) -45 + 27s = (20 + 15s) Solving -45 + 27s = 20 + 15s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-15s' to each side of the equation. -45 + 27s + -15s = 20 + 15s + -15s Combine like terms: 27s + -15s = 12s -45 + 12s = 20 + 15s + -15s Combine like terms: 15s + -15s = 0 -45 + 12s = 20 + 0 -45 + 12s = 20 Add '45' to each side of the equation. -45 + 45 + 12s = 20 + 45 Combine like terms: -45 + 45 = 0 0 + 12s = 20 + 45 12s = 20 + 45 Combine like terms: 20 + 45 = 65 12s = 65 Divide each side by '12'. s = 5.416666667 Simplifying s = 5.416666667
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