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Simplifying 2.4 + -2 = 0.4(1 + 6c) Combine like terms: 2.4 + -2 = 0.4 0.4 = 0.4(1 + 6c) 0.4 = (1 * 0.4 + 6c * 0.4) 0.4 = (0.4 + 2.4c) Add '-0.4' to each side of the equation. 0.4 + -0.4 = 0.4 + -0.4 + 2.4c Combine like terms: 0.4 + -0.4 = 0.0 0.0 = 0.4 + -0.4 + 2.4c Combine like terms: 0.4 + -0.4 = 0.0 0.0 = 0.0 + 2.4c 0.0 = 2.4c Solving 0.0 = 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. 0.0 + -2.4c = 2.4c + -2.4c Remove the zero: -2.4c = 2.4c + -2.4c Combine like terms: 2.4c + -2.4c = 0.0 -2.4c = 0.0 Divide each side by '-2.4'. c = 0 Simplifying c = 0
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