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Simplifying 7(2c + 3) = 3(5c + 3) Reorder the terms: 7(3 + 2c) = 3(5c + 3) (3 * 7 + 2c * 7) = 3(5c + 3) (21 + 14c) = 3(5c + 3) Reorder the terms: 21 + 14c = 3(3 + 5c) 21 + 14c = (3 * 3 + 5c * 3) 21 + 14c = (9 + 15c) Solving 21 + 14c = 9 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. 21 + 14c + -15c = 9 + 15c + -15c Combine like terms: 14c + -15c = -1c 21 + -1c = 9 + 15c + -15c Combine like terms: 15c + -15c = 0 21 + -1c = 9 + 0 21 + -1c = 9 Add '-21' to each side of the equation. 21 + -21 + -1c = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -1c = 9 + -21 -1c = 9 + -21 Combine like terms: 9 + -21 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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