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Simplifying 6(a + 7) = 162 Reorder the terms: 6(7 + a) = 162 (7 * 6 + a * 6) = 162 (42 + 6a) = 162 Solving 42 + 6a = 162 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 = 162 + -42 Combine like terms: 42 + -42 = 0 0 + 6a = 162 + -42 6a = 162 + -42 Combine like terms: 162 + -42 = 120 6a = 120 Divide each side by '6'. a = 20 Simplifying a = 20
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