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Simplifying 7(c + -5) = 1 + 6c Reorder the terms: 7(-5 + c) = 1 + 6c (-5 * 7 + c * 7) = 1 + 6c (-35 + 7c) = 1 + 6c Solving -35 + 7c = 1 + 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. -35 + 7c + -6c = 1 + 6c + -6c Combine like terms: 7c + -6c = 1c -35 + 1c = 1 + 6c + -6c Combine like terms: 6c + -6c = 0 -35 + 1c = 1 + 0 -35 + 1c = 1 Add '35' to each side of the equation. -35 + 35 + 1c = 1 + 35 Combine like terms: -35 + 35 = 0 0 + 1c = 1 + 35 1c = 1 + 35 Combine like terms: 1 + 35 = 36 1c = 36 Divide each side by '1'. c = 36 Simplifying c = 36
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