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Simplifying 0.4c + 0.8(4) = 0.5(c + 4) Multiply 0.8 * 4 0.4c + 3.2 = 0.5(c + 4) Reorder the terms: 3.2 + 0.4c = 0.5(c + 4) Reorder the terms: 3.2 + 0.4c = 0.5(4 + c) 3.2 + 0.4c = (4 * 0.5 + c * 0.5) 3.2 + 0.4c = (2 + 0.5c) Solving 3.2 + 0.4c = 2 + 0.5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.5c' to each side of the equation. 3.2 + 0.4c + -0.5c = 2 + 0.5c + -0.5c Combine like terms: 0.4c + -0.5c = -0.1c 3.2 + -0.1c = 2 + 0.5c + -0.5c Combine like terms: 0.5c + -0.5c = 0.0 3.2 + -0.1c = 2 + 0.0 3.2 + -0.1c = 2 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -0.1c = 2 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -0.1c = 2 + -3.2 -0.1c = 2 + -3.2 Combine like terms: 2 + -3.2 = -1.2 -0.1c = -1.2 Divide each side by '-0.1'. c = 12 Simplifying c = 12
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