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Simplifying 5(3a + 2) + 2a + 6 = 50 Reorder the terms: 5(2 + 3a) + 2a + 6 = 50 (2 * 5 + 3a * 5) + 2a + 6 = 50 (10 + 15a) + 2a + 6 = 50 Reorder the terms: 10 + 6 + 15a + 2a = 50 Combine like terms: 10 + 6 = 16 16 + 15a + 2a = 50 Combine like terms: 15a + 2a = 17a 16 + 17a = 50 Solving 16 + 17a = 50 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 17a = 50 + -16 Combine like terms: 16 + -16 = 0 0 + 17a = 50 + -16 17a = 50 + -16 Combine like terms: 50 + -16 = 34 17a = 34 Divide each side by '17'. a = 2 Simplifying a = 2
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