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Simplifying 4c + -2 = 0.4(1 + 6c) Reorder the terms: -2 + 4c = 0.4(1 + 6c) -2 + 4c = (1 * 0.4 + 6c * 0.4) -2 + 4c = (0.4 + 2.4c) Solving -2 + 4c = 0.4 + 2.4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2.4c' to each side of the equation. -2 + 4c + -2.4c = 0.4 + 2.4c + -2.4c Combine like terms: 4c + -2.4c = 1.6c -2 + 1.6c = 0.4 + 2.4c + -2.4c Combine like terms: 2.4c + -2.4c = 0.0 -2 + 1.6c = 0.4 + 0.0 -2 + 1.6c = 0.4 Add '2' to each side of the equation. -2 + 2 + 1.6c = 0.4 + 2 Combine like terms: -2 + 2 = 0 0 + 1.6c = 0.4 + 2 1.6c = 0.4 + 2 Combine like terms: 0.4 + 2 = 2.4 1.6c = 2.4 Divide each side by '1.6'. c = 1.5 Simplifying c = 1.5
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