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Simplifying 5(2a + 1) + 16 = 3a Reorder the terms: 5(1 + 2a) + 16 = 3a (1 * 5 + 2a * 5) + 16 = 3a (5 + 10a) + 16 = 3a Reorder the terms: 5 + 16 + 10a = 3a Combine like terms: 5 + 16 = 21 21 + 10a = 3a Solving 21 + 10a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 21 + 10a + -3a = 3a + -3a Combine like terms: 10a + -3a = 7a 21 + 7a = 3a + -3a Combine like terms: 3a + -3a = 0 21 + 7a = 0 Add '-21' to each side of the equation. 21 + -21 + 7a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7a = 0 + -21 7a = 0 + -21 Combine like terms: 0 + -21 = -21 7a = -21 Divide each side by '7'. a = -3 Simplifying a = -3
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