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Simplifying 49 = 7(c + 4) Reorder the terms: 49 = 7(4 + c) 49 = (4 * 7 + c * 7) 49 = (28 + 7c) Solving 49 = 28 + 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. 49 + -7c = 28 + 7c + -7c Combine like terms: 7c + -7c = 0 49 + -7c = 28 + 0 49 + -7c = 28 Add '-49' to each side of the equation. 49 + -49 + -7c = 28 + -49 Combine like terms: 49 + -49 = 0 0 + -7c = 28 + -49 -7c = 28 + -49 Combine like terms: 28 + -49 = -21 -7c = -21 Divide each side by '-7'. c = 3 Simplifying c = 3
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