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Simplifying 1 + -3(2c + 3) + 3(4 + c) = -9 Reorder the terms: 1 + -3(3 + 2c) + 3(4 + c) = -9 1 + (3 * -3 + 2c * -3) + 3(4 + c) = -9 1 + (-9 + -6c) + 3(4 + c) = -9 1 + -9 + -6c + (4 * 3 + c * 3) = -9 1 + -9 + -6c + (12 + 3c) = -9 Reorder the terms: 1 + -9 + 12 + -6c + 3c = -9 Combine like terms: 1 + -9 = -8 -8 + 12 + -6c + 3c = -9 Combine like terms: -8 + 12 = 4 4 + -6c + 3c = -9 Combine like terms: -6c + 3c = -3c 4 + -3c = -9 Solving 4 + -3c = -9 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3c = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -3c = -9 + -4 -3c = -9 + -4 Combine like terms: -9 + -4 = -13 -3c = -13 Divide each side by '-3'. c = 4.333333333 Simplifying c = 4.333333333
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