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Simplifying 3c + -6(2c + -3) = -18 + -15c Reorder the terms: 3c + -6(-3 + 2c) = -18 + -15c 3c + (-3 * -6 + 2c * -6) = -18 + -15c 3c + (18 + -12c) = -18 + -15c Reorder the terms: 18 + 3c + -12c = -18 + -15c Combine like terms: 3c + -12c = -9c 18 + -9c = -18 + -15c Solving 18 + -9c = -18 + -15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15c' to each side of the equation. 18 + -9c + 15c = -18 + -15c + 15c Combine like terms: -9c + 15c = 6c 18 + 6c = -18 + -15c + 15c Combine like terms: -15c + 15c = 0 18 + 6c = -18 + 0 18 + 6c = -18 Add '-18' to each side of the equation. 18 + -18 + 6c = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 6c = -18 + -18 6c = -18 + -18 Combine like terms: -18 + -18 = -36 6c = -36 Divide each side by '6'. c = -6 Simplifying c = -6
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