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Simplifying 7(1 + c) = 6(c + -1) (1 * 7 + c * 7) = 6(c + -1) (7 + 7c) = 6(c + -1) Reorder the terms: 7 + 7c = 6(-1 + c) 7 + 7c = (-1 * 6 + c * 6) 7 + 7c = (-6 + 6c) Solving 7 + 7c = -6 + 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. 7 + 7c + -6c = -6 + 6c + -6c Combine like terms: 7c + -6c = 1c 7 + 1c = -6 + 6c + -6c Combine like terms: 6c + -6c = 0 7 + 1c = -6 + 0 7 + 1c = -6 Add '-7' to each side of the equation. 7 + -7 + 1c = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 1c = -6 + -7 1c = -6 + -7 Combine like terms: -6 + -7 = -13 1c = -13 Divide each side by '1'. c = -13 Simplifying c = -13
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