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Simplifying 0.06(1000 + -1c) + 0.10c = 80 (1000 * 0.06 + -1c * 0.06) + 0.10c = 80 (60 + -0.06c) + 0.10c = 80 Combine like terms: -0.06c + 0.10c = 0.04c 60 + 0.04c = 80 Solving 60 + 0.04c = 80 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 0.04c = 80 + -60 Combine like terms: 60 + -60 = 0 0 + 0.04c = 80 + -60 0.04c = 80 + -60 Combine like terms: 80 + -60 = 20 0.04c = 20 Divide each side by '0.04'. c = 500 Simplifying c = 500
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