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Simplifying 3.16 = c + (1 + -1c) * 0.1 Reorder the terms for easier multiplication: 3.16 = c + 0.1(1 + -1c) 3.16 = c + (1 * 0.1 + -1c * 0.1) 3.16 = c + (0.1 + -0.1c) Reorder the terms: 3.16 = 0.1 + c + -0.1c Combine like terms: c + -0.1c = 0.9c 3.16 = 0.1 + 0.9c Solving 3.16 = 0.1 + 0.9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.9c' to each side of the equation. 3.16 + -0.9c = 0.1 + 0.9c + -0.9c Combine like terms: 0.9c + -0.9c = 0.0 3.16 + -0.9c = 0.1 + 0.0 3.16 + -0.9c = 0.1 Add '-3.16' to each side of the equation. 3.16 + -3.16 + -0.9c = 0.1 + -3.16 Combine like terms: 3.16 + -3.16 = 0.00 0.00 + -0.9c = 0.1 + -3.16 -0.9c = 0.1 + -3.16 Combine like terms: 0.1 + -3.16 = -3.06 -0.9c = -3.06 Divide each side by '-0.9'. c = 3.4 Simplifying c = 3.4
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