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Simplifying 2(c + 3) = 5c + 3 Reorder the terms: 2(3 + c) = 5c + 3 (3 * 2 + c * 2) = 5c + 3 (6 + 2c) = 5c + 3 Reorder the terms: 6 + 2c = 3 + 5c Solving 6 + 2c = 3 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 6 + 2c + -5c = 3 + 5c + -5c Combine like terms: 2c + -5c = -3c 6 + -3c = 3 + 5c + -5c Combine like terms: 5c + -5c = 0 6 + -3c = 3 + 0 6 + -3c = 3 Add '-6' to each side of the equation. 6 + -6 + -3c = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -3c = 3 + -6 -3c = 3 + -6 Combine like terms: 3 + -6 = -3 -3c = -3 Divide each side by '-3'. c = 1 Simplifying c = 1
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