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Simplifying 0.14c + 2 + -0.3c = 0.24c + -0.8 Reorder the terms: 2 + 0.14c + -0.3c = 0.24c + -0.8 Combine like terms: 0.14c + -0.3c = -0.16c 2 + -0.16c = 0.24c + -0.8 Reorder the terms: 2 + -0.16c = -0.8 + 0.24c Solving 2 + -0.16c = -0.8 + 0.24c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.24c' to each side of the equation. 2 + -0.16c + -0.24c = -0.8 + 0.24c + -0.24c Combine like terms: -0.16c + -0.24c = -0.4c 2 + -0.4c = -0.8 + 0.24c + -0.24c Combine like terms: 0.24c + -0.24c = 0.00 2 + -0.4c = -0.8 + 0.00 2 + -0.4c = -0.8 Add '-2' to each side of the equation. 2 + -2 + -0.4c = -0.8 + -2 Combine like terms: 2 + -2 = 0 0 + -0.4c = -0.8 + -2 -0.4c = -0.8 + -2 Combine like terms: -0.8 + -2 = -2.8 -0.4c = -2.8 Divide each side by '-0.4'. c = 7 Simplifying c = 7
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