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Simplifying 7(6 + c) = 6(c + -5) (6 * 7 + c * 7) = 6(c + -5) (42 + 7c) = 6(c + -5) Reorder the terms: 42 + 7c = 6(-5 + c) 42 + 7c = (-5 * 6 + c * 6) 42 + 7c = (-30 + 6c) Solving 42 + 7c = -30 + 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 = -30 + 6c + -6c Combine like terms: 7c + -6c = 1c 42 + 1c = -30 + 6c + -6c Combine like terms: 6c + -6c = 0 42 + 1c = -30 + 0 42 + 1c = -30 Add '-42' to each side of the equation. 42 + -42 + 1c = -30 + -42 Combine like terms: 42 + -42 = 0 0 + 1c = -30 + -42 1c = -30 + -42 Combine like terms: -30 + -42 = -72 1c = -72 Divide each side by '1'. c = -72 Simplifying c = -72
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