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Simplifying 25 = 4 + 7(c + 6) Reorder the terms: 25 = 4 + 7(6 + c) 25 = 4 + (6 * 7 + c * 7) 25 = 4 + (42 + 7c) Combine like terms: 4 + 42 = 46 25 = 46 + 7c Solving 25 = 46 + 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. 25 + -7c = 46 + 7c + -7c Combine like terms: 7c + -7c = 0 25 + -7c = 46 + 0 25 + -7c = 46 Add '-25' to each side of the equation. 25 + -25 + -7c = 46 + -25 Combine like terms: 25 + -25 = 0 0 + -7c = 46 + -25 -7c = 46 + -25 Combine like terms: 46 + -25 = 21 -7c = 21 Divide each side by '-7'. c = -3 Simplifying c = -3
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