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Simplifying 10c + -53 = 4c + 1 Reorder the terms: -53 + 10c = 4c + 1 Reorder the terms: -53 + 10c = 1 + 4c Solving -53 + 10c = 1 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -53 + 10c + -4c = 1 + 4c + -4c Combine like terms: 10c + -4c = 6c -53 + 6c = 1 + 4c + -4c Combine like terms: 4c + -4c = 0 -53 + 6c = 1 + 0 -53 + 6c = 1 Add '53' to each side of the equation. -53 + 53 + 6c = 1 + 53 Combine like terms: -53 + 53 = 0 0 + 6c = 1 + 53 6c = 1 + 53 Combine like terms: 1 + 53 = 54 6c = 54 Divide each side by '6'. c = 9 Simplifying c = 9
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