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Simplifying 7(c + -7) = 5c + 59 Reorder the terms: 7(-7 + c) = 5c + 59 (-7 * 7 + c * 7) = 5c + 59 (-49 + 7c) = 5c + 59 Reorder the terms: -49 + 7c = 59 + 5c Solving -49 + 7c = 59 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -49 + 7c + -5c = 59 + 5c + -5c Combine like terms: 7c + -5c = 2c -49 + 2c = 59 + 5c + -5c Combine like terms: 5c + -5c = 0 -49 + 2c = 59 + 0 -49 + 2c = 59 Add '49' to each side of the equation. -49 + 49 + 2c = 59 + 49 Combine like terms: -49 + 49 = 0 0 + 2c = 59 + 49 2c = 59 + 49 Combine like terms: 59 + 49 = 108 2c = 108 Divide each side by '2'. c = 54 Simplifying c = 54
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