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Simplifying c + (0.4)(5) = 0.9(c + 5) Multiply 0.4 * 5 c + 2 = 0.9(c + 5) Reorder the terms: 2 + c = 0.9(c + 5) Reorder the terms: 2 + c = 0.9(5 + c) 2 + c = (5 * 0.9 + c * 0.9) 2 + c = (4.5 + 0.9c) Solving 2 + c = 4.5 + 0.9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.9c' to each side of the equation. 2 + c + -0.9c = 4.5 + 0.9c + -0.9c Combine like terms: c + -0.9c = 0.1c 2 + 0.1c = 4.5 + 0.9c + -0.9c Combine like terms: 0.9c + -0.9c = 0.0 2 + 0.1c = 4.5 + 0.0 2 + 0.1c = 4.5 Add '-2' to each side of the equation. 2 + -2 + 0.1c = 4.5 + -2 Combine like terms: 2 + -2 = 0 0 + 0.1c = 4.5 + -2 0.1c = 4.5 + -2 Combine like terms: 4.5 + -2 = 2.5 0.1c = 2.5 Divide each side by '0.1'. c = 25 Simplifying c = 25
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