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Simplifying 7(8 + c) = 6(c + -3) (8 * 7 + c * 7) = 6(c + -3) (56 + 7c) = 6(c + -3) Reorder the terms: 56 + 7c = 6(-3 + c) 56 + 7c = (-3 * 6 + c * 6) 56 + 7c = (-18 + 6c) Solving 56 + 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. 56 + 7c + -6c = -18 + 6c + -6c Combine like terms: 7c + -6c = 1c 56 + 1c = -18 + 6c + -6c Combine like terms: 6c + -6c = 0 56 + 1c = -18 + 0 56 + 1c = -18 Add '-56' to each side of the equation. 56 + -56 + 1c = -18 + -56 Combine like terms: 56 + -56 = 0 0 + 1c = -18 + -56 1c = -18 + -56 Combine like terms: -18 + -56 = -74 1c = -74 Divide each side by '1'. c = -74 Simplifying c = -74
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