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Simplifying 7c + 1 = -3c + 41 Reorder the terms: 1 + 7c = -3c + 41 Reorder the terms: 1 + 7c = 41 + -3c Solving 1 + 7c = 41 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 1 + 7c + 3c = 41 + -3c + 3c Combine like terms: 7c + 3c = 10c 1 + 10c = 41 + -3c + 3c Combine like terms: -3c + 3c = 0 1 + 10c = 41 + 0 1 + 10c = 41 Add '-1' to each side of the equation. 1 + -1 + 10c = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 10c = 41 + -1 10c = 41 + -1 Combine like terms: 41 + -1 = 40 10c = 40 Divide each side by '10'. c = 4 Simplifying c = 4
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