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Simplifying 3a + -4 + 6a + 2z = 5a + 22 Reorder the terms: -4 + 3a + 6a + 2z = 5a + 22 Combine like terms: 3a + 6a = 9a -4 + 9a + 2z = 5a + 22 Reorder the terms: -4 + 9a + 2z = 22 + 5a Solving -4 + 9a + 2z = 22 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -4 + 9a + -5a + 2z = 22 + 5a + -5a Combine like terms: 9a + -5a = 4a -4 + 4a + 2z = 22 + 5a + -5a Combine like terms: 5a + -5a = 0 -4 + 4a + 2z = 22 + 0 -4 + 4a + 2z = 22 Add '4' to each side of the equation. -4 + 4a + 4 + 2z = 22 + 4 Reorder the terms: -4 + 4 + 4a + 2z = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 4a + 2z = 22 + 4 4a + 2z = 22 + 4 Combine like terms: 22 + 4 = 26 4a + 2z = 26 Add '-2z' to each side of the equation. 4a + 2z + -2z = 26 + -2z Combine like terms: 2z + -2z = 0 4a + 0 = 26 + -2z 4a = 26 + -2z Divide each side by '4'. a = 6.5 + -0.5z Simplifying a = 6.5 + -0.5z
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