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Simplifying 2.4c + -2 = 0.4(1 + 3k) Reorder the terms: -2 + 2.4c = 0.4(1 + 3k) -2 + 2.4c = (1 * 0.4 + 3k * 0.4) -2 + 2.4c = (0.4 + 1.2k) Solving -2 + 2.4c = 0.4 + 1.2k Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2.4c = 0.4 + 2 + 1.2k Combine like terms: -2 + 2 = 0 0 + 2.4c = 0.4 + 2 + 1.2k 2.4c = 0.4 + 2 + 1.2k Combine like terms: 0.4 + 2 = 2.4 2.4c = 2.4 + 1.2k Divide each side by '2.4'. c = 1 + 0.5k Simplifying c = 1 + 0.5k
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