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Simplifying 7(c + 6) = 6c + -5 Reorder the terms: 7(6 + c) = 6c + -5 (6 * 7 + c * 7) = 6c + -5 (42 + 7c) = 6c + -5 Reorder the terms: 42 + 7c = -5 + 6c Solving 42 + 7c = -5 + 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. 42 + 7c + -6c = -5 + 6c + -6c Combine like terms: 7c + -6c = 1c 42 + 1c = -5 + 6c + -6c Combine like terms: 6c + -6c = 0 42 + 1c = -5 + 0 42 + 1c = -5 Add '-42' to each side of the equation. 42 + -42 + 1c = -5 + -42 Combine like terms: 42 + -42 = 0 0 + 1c = -5 + -42 1c = -5 + -42 Combine like terms: -5 + -42 = -47 1c = -47 Divide each side by '1'. c = -47 Simplifying c = -47
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