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Simplifying 7(3 + c) = 6(c + -3) (3 * 7 + c * 7) = 6(c + -3) (21 + 7c) = 6(c + -3) Reorder the terms: 21 + 7c = 6(-3 + c) 21 + 7c = (-3 * 6 + c * 6) 21 + 7c = (-18 + 6c) Solving 21 + 7c = -18 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 21 + 7c + -6c = -18 + 6c + -6c Combine like terms: 7c + -6c = 1c 21 + 1c = -18 + 6c + -6c Combine like terms: 6c + -6c = 0 21 + 1c = -18 + 0 21 + 1c = -18 Add '-21' to each side of the equation. 21 + -21 + 1c = -18 + -21 Combine like terms: 21 + -21 = 0 0 + 1c = -18 + -21 1c = -18 + -21 Combine like terms: -18 + -21 = -39 1c = -39 Divide each side by '1'. c = -39 Simplifying c = -39
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