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Simplifying 2(7a + 2) = 40 + 5a Reorder the terms: 2(2 + 7a) = 40 + 5a (2 * 2 + 7a * 2) = 40 + 5a (4 + 14a) = 40 + 5a Solving 4 + 14a = 40 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 4 + 14a + -5a = 40 + 5a + -5a Combine like terms: 14a + -5a = 9a 4 + 9a = 40 + 5a + -5a Combine like terms: 5a + -5a = 0 4 + 9a = 40 + 0 4 + 9a = 40 Add '-4' to each side of the equation. 4 + -4 + 9a = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 9a = 40 + -4 9a = 40 + -4 Combine like terms: 40 + -4 = 36 9a = 36 Divide each side by '9'. a = 4 Simplifying a = 4
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