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Simplifying 8s + -1(5s + 6) = 0.05(20 + 6s) Reorder the terms: 8s + -1(6 + 5s) = 0.05(20 + 6s) 8s + (6 * -1 + 5s * -1) = 0.05(20 + 6s) 8s + (-6 + -5s) = 0.05(20 + 6s) Reorder the terms: -6 + 8s + -5s = 0.05(20 + 6s) Combine like terms: 8s + -5s = 3s -6 + 3s = 0.05(20 + 6s) -6 + 3s = (20 * 0.05 + 6s * 0.05) -6 + 3s = (1 + 0.3s) Solving -6 + 3s = 1 + 0.3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-0.3s' to each side of the equation. -6 + 3s + -0.3s = 1 + 0.3s + -0.3s Combine like terms: 3s + -0.3s = 2.7s -6 + 2.7s = 1 + 0.3s + -0.3s Combine like terms: 0.3s + -0.3s = 0.0 -6 + 2.7s = 1 + 0.0 -6 + 2.7s = 1 Add '6' to each side of the equation. -6 + 6 + 2.7s = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 2.7s = 1 + 6 2.7s = 1 + 6 Combine like terms: 1 + 6 = 7 2.7s = 7 Divide each side by '2.7'. s = 2.592592593 Simplifying s = 2.592592593
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