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Simplifying 4(7c + 1) + -57 = 21c + 3 Reorder the terms: 4(1 + 7c) + -57 = 21c + 3 (1 * 4 + 7c * 4) + -57 = 21c + 3 (4 + 28c) + -57 = 21c + 3 Reorder the terms: 4 + -57 + 28c = 21c + 3 Combine like terms: 4 + -57 = -53 -53 + 28c = 21c + 3 Reorder the terms: -53 + 28c = 3 + 21c Solving -53 + 28c = 3 + 21c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21c' to each side of the equation. -53 + 28c + -21c = 3 + 21c + -21c Combine like terms: 28c + -21c = 7c -53 + 7c = 3 + 21c + -21c Combine like terms: 21c + -21c = 0 -53 + 7c = 3 + 0 -53 + 7c = 3 Add '53' to each side of the equation. -53 + 53 + 7c = 3 + 53 Combine like terms: -53 + 53 = 0 0 + 7c = 3 + 53 7c = 3 + 53 Combine like terms: 3 + 53 = 56 7c = 56 Divide each side by '7'. c = 8 Simplifying c = 8
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