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Simplifying 6(a + 7) = 78 Reorder the terms: 6(7 + a) = 78 (7 * 6 + a * 6) = 78 (42 + 6a) = 78 Solving 42 + 6a = 78 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 + 6a = 78 + -42 Combine like terms: 42 + -42 = 0 0 + 6a = 78 + -42 6a = 78 + -42 Combine like terms: 78 + -42 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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