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Simplifying 51 = 4c + 7 Reorder the terms: 51 = 7 + 4c Solving 51 = 7 + 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. 51 + -4c = 7 + 4c + -4c Combine like terms: 4c + -4c = 0 51 + -4c = 7 + 0 51 + -4c = 7 Add '-51' to each side of the equation. 51 + -51 + -4c = 7 + -51 Combine like terms: 51 + -51 = 0 0 + -4c = 7 + -51 -4c = 7 + -51 Combine like terms: 7 + -51 = -44 -4c = -44 Divide each side by '-4'. c = 11 Simplifying c = 11
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