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Simplifying (2 + -1c) + 3(c + -3) = -13 Remove parenthesis around (2 + -1c) 2 + -1c + 3(c + -3) = -13 Reorder the terms: 2 + -1c + 3(-3 + c) = -13 2 + -1c + (-3 * 3 + c * 3) = -13 2 + -1c + (-9 + 3c) = -13 Reorder the terms: 2 + -9 + -1c + 3c = -13 Combine like terms: 2 + -9 = -7 -7 + -1c + 3c = -13 Combine like terms: -1c + 3c = 2c -7 + 2c = -13 Solving -7 + 2c = -13 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2c = -13 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = -13 + 7 2c = -13 + 7 Combine like terms: -13 + 7 = -6 2c = -6 Divide each side by '2'. c = -3 Simplifying c = -3
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