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Simplifying a + 5(2a + 8) = 84 Reorder the terms: a + 5(8 + 2a) = 84 a + (8 * 5 + 2a * 5) = 84 a + (40 + 10a) = 84 Reorder the terms: 40 + a + 10a = 84 Combine like terms: a + 10a = 11a 40 + 11a = 84 Solving 40 + 11a = 84 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 11a = 84 + -40 Combine like terms: 40 + -40 = 0 0 + 11a = 84 + -40 11a = 84 + -40 Combine like terms: 84 + -40 = 44 11a = 44 Divide each side by '11'. a = 4 Simplifying a = 4
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