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Simplifying 6(c + 3) = 4(1 + -1c) Reorder the terms: 6(3 + c) = 4(1 + -1c) (3 * 6 + c * 6) = 4(1 + -1c) (18 + 6c) = 4(1 + -1c) 18 + 6c = (1 * 4 + -1c * 4) 18 + 6c = (4 + -4c) Solving 18 + 6c = 4 + -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. 18 + 6c + 4c = 4 + -4c + 4c Combine like terms: 6c + 4c = 10c 18 + 10c = 4 + -4c + 4c Combine like terms: -4c + 4c = 0 18 + 10c = 4 + 0 18 + 10c = 4 Add '-18' to each side of the equation. 18 + -18 + 10c = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 10c = 4 + -18 10c = 4 + -18 Combine like terms: 4 + -18 = -14 10c = -14 Divide each side by '10'. c = -1.4 Simplifying c = -1.4
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