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Simplifying S + (3s + 0.22) + (s + -0.12) = 4.6 Reorder the terms: S + (0.22 + 3s) + (s + -0.12) = 4.6 Remove parenthesis around (0.22 + 3s) S + 0.22 + 3s + (s + -0.12) = 4.6 Reorder the terms: S + 0.22 + 3s + (-0.12 + s) = 4.6 Remove parenthesis around (-0.12 + s) S + 0.22 + 3s + -0.12 + s = 4.6 Reorder the terms: 0.22 + -0.12 + S + 3s + s = 4.6 Combine like terms: 0.22 + -0.12 = 0.1 0.1 + S + 3s + s = 4.6 Combine like terms: 3s + s = 4s 0.1 + S + 4s = 4.6 Solving 0.1 + S + 4s = 4.6 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + S + -0.1 + 4s = 4.6 + -0.1 Reorder the terms: 0.1 + -0.1 + S + 4s = 4.6 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + S + 4s = 4.6 + -0.1 S + 4s = 4.6 + -0.1 Combine like terms: 4.6 + -0.1 = 4.5 S + 4s = 4.5 Add '-4s' to each side of the equation. S + 4s + -4s = 4.5 + -4s Combine like terms: 4s + -4s = 0 S + 0 = 4.5 + -4s S = 4.5 + -4s Simplifying S = 4.5 + -4s
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