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Simplifying 6(c + 4) = (4c) + -18 Reorder the terms: 6(4 + c) = (4c) + -18 (4 * 6 + c * 6) = (4c) + -18 (24 + 6c) = (4c) + -18 Reorder the terms: 24 + 6c = -18 + (4c) Solving 24 + 6c = -18 + (4c) Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '(-4c)' to each side of the equation. 24 + 6c + (-4c) = -18 + (4c) + (-4c) Combine like terms: 6c + (-4c) = 2c 24 + 2c = -18 + (4c) + (-4c) Combine like terms: (4c) + (-4c) = 0 24 + 2c = -18 + 0 24 + 2c = -18 Add '-24' to each side of the equation. 24 + -24 + 2c = -18 + -24 Combine like terms: 24 + -24 = 0 0 + 2c = -18 + -24 2c = -18 + -24 Combine like terms: -18 + -24 = -42 2c = -42 Divide each side by '2'. c = -21 Simplifying c = -21
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