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Simplifying 7(4c + -1) + -14 = 26c + 7 Reorder the terms: 7(-1 + 4c) + -14 = 26c + 7 (-1 * 7 + 4c * 7) + -14 = 26c + 7 (-7 + 28c) + -14 = 26c + 7 Reorder the terms: -7 + -14 + 28c = 26c + 7 Combine like terms: -7 + -14 = -21 -21 + 28c = 26c + 7 Reorder the terms: -21 + 28c = 7 + 26c Solving -21 + 28c = 7 + 26c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-26c' to each side of the equation. -21 + 28c + -26c = 7 + 26c + -26c Combine like terms: 28c + -26c = 2c -21 + 2c = 7 + 26c + -26c Combine like terms: 26c + -26c = 0 -21 + 2c = 7 + 0 -21 + 2c = 7 Add '21' to each side of the equation. -21 + 21 + 2c = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 2c = 7 + 21 2c = 7 + 21 Combine like terms: 7 + 21 = 28 2c = 28 Divide each side by '2'. c = 14 Simplifying c = 14
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