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Simplifying 4c + 5(4.1 + -3c) = 8.4 4c + (4.1 * 5 + -3c * 5) = 8.4 4c + (20.5 + -15c) = 8.4 Reorder the terms: 20.5 + 4c + -15c = 8.4 Combine like terms: 4c + -15c = -11c 20.5 + -11c = 8.4 Solving 20.5 + -11c = 8.4 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20.5' to each side of the equation. 20.5 + -20.5 + -11c = 8.4 + -20.5 Combine like terms: 20.5 + -20.5 = 0.0 0.0 + -11c = 8.4 + -20.5 -11c = 8.4 + -20.5 Combine like terms: 8.4 + -20.5 = -12.1 -11c = -12.1 Divide each side by '-11'. c = 1.1 Simplifying c = 1.1
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