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Simplifying 1 + 3(3c + 4) = 15 + 6c Reorder the terms: 1 + 3(4 + 3c) = 15 + 6c 1 + (4 * 3 + 3c * 3) = 15 + 6c 1 + (12 + 9c) = 15 + 6c Combine like terms: 1 + 12 = 13 13 + 9c = 15 + 6c Solving 13 + 9c = 15 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 13 + 9c + -6c = 15 + 6c + -6c Combine like terms: 9c + -6c = 3c 13 + 3c = 15 + 6c + -6c Combine like terms: 6c + -6c = 0 13 + 3c = 15 + 0 13 + 3c = 15 Add '-13' to each side of the equation. 13 + -13 + 3c = 15 + -13 Combine like terms: 13 + -13 = 0 0 + 3c = 15 + -13 3c = 15 + -13 Combine like terms: 15 + -13 = 2 3c = 2 Divide each side by '3'. c = 0.6666666667 Simplifying c = 0.6666666667
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