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Simplifying 36 = 0.8(10 + 2c) + 4 36 = (10 * 0.8 + 2c * 0.8) + 4 36 = (8 + 1.6c) + 4 Reorder the terms: 36 = 8 + 4 + 1.6c Combine like terms: 8 + 4 = 12 36 = 12 + 1.6c Solving 36 = 12 + 1.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1.6c' to each side of the equation. 36 + -1.6c = 12 + 1.6c + -1.6c Combine like terms: 1.6c + -1.6c = 0.0 36 + -1.6c = 12 + 0.0 36 + -1.6c = 12 Add '-36' to each side of the equation. 36 + -36 + -1.6c = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -1.6c = 12 + -36 -1.6c = 12 + -36 Combine like terms: 12 + -36 = -24 -1.6c = -24 Divide each side by '-1.6'. c = 15 Simplifying c = 15
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