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Simplifying 7(7c + -1) + -4c = 82 + c Reorder the terms: 7(-1 + 7c) + -4c = 82 + c (-1 * 7 + 7c * 7) + -4c = 82 + c (-7 + 49c) + -4c = 82 + c Combine like terms: 49c + -4c = 45c -7 + 45c = 82 + c Solving -7 + 45c = 82 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -7 + 45c + -1c = 82 + c + -1c Combine like terms: 45c + -1c = 44c -7 + 44c = 82 + c + -1c Combine like terms: c + -1c = 0 -7 + 44c = 82 + 0 -7 + 44c = 82 Add '7' to each side of the equation. -7 + 7 + 44c = 82 + 7 Combine like terms: -7 + 7 = 0 0 + 44c = 82 + 7 44c = 82 + 7 Combine like terms: 82 + 7 = 89 44c = 89 Divide each side by '44'. c = 2.022727273 Simplifying c = 2.022727273
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