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Simplifying 0.75(4c + 16) = 2c + 9 Reorder the terms: 0.75(16 + 4c) = 2c + 9 (16 * 0.75 + 4c * 0.75) = 2c + 9 (12 + 3c) = 2c + 9 Reorder the terms: 12 + 3c = 9 + 2c Solving 12 + 3c = 9 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 12 + 3c + -2c = 9 + 2c + -2c Combine like terms: 3c + -2c = 1c 12 + 1c = 9 + 2c + -2c Combine like terms: 2c + -2c = 0 12 + 1c = 9 + 0 12 + 1c = 9 Add '-12' to each side of the equation. 12 + -12 + 1c = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = 9 + -12 1c = 9 + -12 Combine like terms: 9 + -12 = -3 1c = -3 Divide each side by '1'. c = -3 Simplifying c = -3
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