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Simplifying 5(8 + 2a) + 6a = 152 (8 * 5 + 2a * 5) + 6a = 152 (40 + 10a) + 6a = 152 Combine like terms: 10a + 6a = 16a 40 + 16a = 152 Solving 40 + 16a = 152 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 + 16a = 152 + -40 Combine like terms: 40 + -40 = 0 0 + 16a = 152 + -40 16a = 152 + -40 Combine like terms: 152 + -40 = 112 16a = 112 Divide each side by '16'. a = 7 Simplifying a = 7
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