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