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Simplifying 3(6 + c) = 2(c + -5) (6 * 3 + c * 3) = 2(c + -5) (18 + 3c) = 2(c + -5) Reorder the terms: 18 + 3c = 2(-5 + c) 18 + 3c = (-5 * 2 + c * 2) 18 + 3c = (-10 + 2c) Solving 18 + 3c = -10 + 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 = -10 + 2c + -2c Combine like terms: 3c + -2c = 1c 18 + 1c = -10 + 2c + -2c Combine like terms: 2c + -2c = 0 18 + 1c = -10 + 0 18 + 1c = -10 Add '-18' to each side of the equation. 18 + -18 + 1c = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 1c = -10 + -18 1c = -10 + -18 Combine like terms: -10 + -18 = -28 1c = -28 Divide each side by '1'. c = -28 Simplifying c = -28
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