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Simplifying 8a + -3(2z + 5) = 13 Reorder the terms: 8a + -3(5 + 2z) = 13 8a + (5 * -3 + 2z * -3) = 13 8a + (-15 + -6z) = 13 Reorder the terms: -15 + 8a + -6z = 13 Solving -15 + 8a + -6z = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 8a + 15 + -6z = 13 + 15 Reorder the terms: -15 + 15 + 8a + -6z = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 8a + -6z = 13 + 15 8a + -6z = 13 + 15 Combine like terms: 13 + 15 = 28 8a + -6z = 28 Add '6z' to each side of the equation. 8a + -6z + 6z = 28 + 6z Combine like terms: -6z + 6z = 0 8a + 0 = 28 + 6z 8a = 28 + 6z Divide each side by '8'. a = 3.5 + 0.75z Simplifying a = 3.5 + 0.75z
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