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Simplifying 7(a + 6) = 77 Reorder the terms: 7(6 + a) = 77 (6 * 7 + a * 7) = 77 (42 + 7a) = 77 Solving 42 + 7a = 77 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 7a = 77 + -42 Combine like terms: 42 + -42 = 0 0 + 7a = 77 + -42 7a = 77 + -42 Combine like terms: 77 + -42 = 35 7a = 35 Divide each side by '7'. a = 5 Simplifying a = 5
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