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Simplifying 21 + -8c = 9(5c + 3) Reorder the terms: 21 + -8c = 9(3 + 5c) 21 + -8c = (3 * 9 + 5c * 9) 21 + -8c = (27 + 45c) Solving 21 + -8c = 27 + 45c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-45c' to each side of the equation. 21 + -8c + -45c = 27 + 45c + -45c Combine like terms: -8c + -45c = -53c 21 + -53c = 27 + 45c + -45c Combine like terms: 45c + -45c = 0 21 + -53c = 27 + 0 21 + -53c = 27 Add '-21' to each side of the equation. 21 + -21 + -53c = 27 + -21 Combine like terms: 21 + -21 = 0 0 + -53c = 27 + -21 -53c = 27 + -21 Combine like terms: 27 + -21 = 6 -53c = 6 Divide each side by '-53'. c = -0.1132075472 Simplifying c = -0.1132075472
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