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Simplifying 1.9c + 3.4(12 + -1c) = 34.8 1.9c + (12 * 3.4 + -1c * 3.4) = 34.8 1.9c + (40.8 + -3.4c) = 34.8 Reorder the terms: 40.8 + 1.9c + -3.4c = 34.8 Combine like terms: 1.9c + -3.4c = -1.5c 40.8 + -1.5c = 34.8 Solving 40.8 + -1.5c = 34.8 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40.8' to each side of the equation. 40.8 + -40.8 + -1.5c = 34.8 + -40.8 Combine like terms: 40.8 + -40.8 = 0.0 0.0 + -1.5c = 34.8 + -40.8 -1.5c = 34.8 + -40.8 Combine like terms: 34.8 + -40.8 = -6 -1.5c = -6 Divide each side by '-1.5'. c = 4 Simplifying c = 4
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