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Simplifying 5 + (3s + 0.22) + (5 + -0.12) = 4.6 Reorder the terms: 5 + (0.22 + 3s) + (5 + -0.12) = 4.6 Remove parenthesis around (0.22 + 3s) 5 + 0.22 + 3s + (5 + -0.12) = 4.6 Combine like terms: 5 + -0.12 = 4.88 5 + 0.22 + 3s + (4.88) = 4.6 5 + 0.22 + 3s + 4.88 = 4.6 Reorder the terms: 5 + 0.22 + 4.88 + 3s = 4.6 Combine like terms: 5 + 0.22 = 5.22 5.22 + 4.88 + 3s = 4.6 Combine like terms: 5.22 + 4.88 = 10.1 10.1 + 3s = 4.6 Solving 10.1 + 3s = 4.6 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-10.1' to each side of the equation. 10.1 + -10.1 + 3s = 4.6 + -10.1 Combine like terms: 10.1 + -10.1 = 0.0 0.0 + 3s = 4.6 + -10.1 3s = 4.6 + -10.1 Combine like terms: 4.6 + -10.1 = -5.5 3s = -5.5 Divide each side by '3'. s = -1.833333333 Simplifying s = -1.833333333
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