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Simplifying 9c + 10 = 4(2c + 7) Reorder the terms: 10 + 9c = 4(2c + 7) Reorder the terms: 10 + 9c = 4(7 + 2c) 10 + 9c = (7 * 4 + 2c * 4) 10 + 9c = (28 + 8c) Solving 10 + 9c = 28 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 10 + 9c + -8c = 28 + 8c + -8c Combine like terms: 9c + -8c = 1c 10 + 1c = 28 + 8c + -8c Combine like terms: 8c + -8c = 0 10 + 1c = 28 + 0 10 + 1c = 28 Add '-10' to each side of the equation. 10 + -10 + 1c = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 1c = 28 + -10 1c = 28 + -10 Combine like terms: 28 + -10 = 18 1c = 18 Divide each side by '1'. c = 18 Simplifying c = 18
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