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Simplifying 5a + 4(3a + -8) = 4 + 13z Reorder the terms: 5a + 4(-8 + 3a) = 4 + 13z 5a + (-8 * 4 + 3a * 4) = 4 + 13z 5a + (-32 + 12a) = 4 + 13z Reorder the terms: -32 + 5a + 12a = 4 + 13z Combine like terms: 5a + 12a = 17a -32 + 17a = 4 + 13z Solving -32 + 17a = 4 + 13z Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 17a = 4 + 32 + 13z Combine like terms: -32 + 32 = 0 0 + 17a = 4 + 32 + 13z 17a = 4 + 32 + 13z Combine like terms: 4 + 32 = 36 17a = 36 + 13z Divide each side by '17'. a = 2.117647059 + 0.7647058824z Simplifying a = 2.117647059 + 0.7647058824z
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