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Simplifying 3(6 + c) = 2(c + -2) (6 * 3 + c * 3) = 2(c + -2) (18 + 3c) = 2(c + -2) Reorder the terms: 18 + 3c = 2(-2 + c) 18 + 3c = (-2 * 2 + c * 2) 18 + 3c = (-4 + 2c) Solving 18 + 3c = -4 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 18 + 3c + -2c = -4 + 2c + -2c Combine like terms: 3c + -2c = 1c 18 + 1c = -4 + 2c + -2c Combine like terms: 2c + -2c = 0 18 + 1c = -4 + 0 18 + 1c = -4 Add '-18' to each side of the equation. 18 + -18 + 1c = -4 + -18 Combine like terms: 18 + -18 = 0 0 + 1c = -4 + -18 1c = -4 + -18 Combine like terms: -4 + -18 = -22 1c = -22 Divide each side by '1'. c = -22 Simplifying c = -22
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