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Simplifying 77 = 7(c + 6) Reorder the terms: 77 = 7(6 + c) 77 = (6 * 7 + c * 7) 77 = (42 + 7c) Solving 77 = 42 + 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. 77 + -7c = 42 + 7c + -7c Combine like terms: 7c + -7c = 0 77 + -7c = 42 + 0 77 + -7c = 42 Add '-77' to each side of the equation. 77 + -77 + -7c = 42 + -77 Combine like terms: 77 + -77 = 0 0 + -7c = 42 + -77 -7c = 42 + -77 Combine like terms: 42 + -77 = -35 -7c = -35 Divide each side by '-7'. c = 5 Simplifying c = 5
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