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Simplifying 9(c + 3) + -7(c + -3) = 0 Reorder the terms: 9(3 + c) + -7(c + -3) = 0 (3 * 9 + c * 9) + -7(c + -3) = 0 (27 + 9c) + -7(c + -3) = 0 Reorder the terms: 27 + 9c + -7(-3 + c) = 0 27 + 9c + (-3 * -7 + c * -7) = 0 27 + 9c + (21 + -7c) = 0 Reorder the terms: 27 + 21 + 9c + -7c = 0 Combine like terms: 27 + 21 = 48 48 + 9c + -7c = 0 Combine like terms: 9c + -7c = 2c 48 + 2c = 0 Solving 48 + 2c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 2c = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 2c = 0 + -48 2c = 0 + -48 Combine like terms: 0 + -48 = -48 2c = -48 Divide each side by '2'. c = -24 Simplifying c = -24
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