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Simplifying 2(7c + 1) + -55 = 7c + 3 Reorder the terms: 2(1 + 7c) + -55 = 7c + 3 (1 * 2 + 7c * 2) + -55 = 7c + 3 (2 + 14c) + -55 = 7c + 3 Reorder the terms: 2 + -55 + 14c = 7c + 3 Combine like terms: 2 + -55 = -53 -53 + 14c = 7c + 3 Reorder the terms: -53 + 14c = 3 + 7c Solving -53 + 14c = 3 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -53 + 14c + -7c = 3 + 7c + -7c Combine like terms: 14c + -7c = 7c -53 + 7c = 3 + 7c + -7c Combine like terms: 7c + -7c = 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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