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Simplifying 8(a + 2) = 5z + 16 + 3a Reorder the terms: 8(2 + a) = 5z + 16 + 3a (2 * 8 + a * 8) = 5z + 16 + 3a (16 + 8a) = 5z + 16 + 3a Reorder the terms: 16 + 8a = 16 + 3a + 5z Add '-16' to each side of the equation. 16 + -16 + 8a = 16 + 3a + -16 + 5z Combine like terms: 16 + -16 = 0 0 + 8a = 16 + 3a + -16 + 5z 8a = 16 + 3a + -16 + 5z Reorder the terms: 8a = 16 + -16 + 3a + 5z Combine like terms: 16 + -16 = 0 8a = 0 + 3a + 5z 8a = 3a + 5z Solving 8a = 3a + 5z 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. 8a + -3a = 3a + -3a + 5z Combine like terms: 8a + -3a = 5a 5a = 3a + -3a + 5z Combine like terms: 3a + -3a = 0 5a = 0 + 5z 5a = 5z Divide each side by '5'. a = z Simplifying a = z
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