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Simplifying 2b + 3(2b + 8z) + -3(8b + 2a) = 0 2b + (2b * 3 + 8z * 3) + -3(8b + 2a) = 0 2b + (6b + 24z) + -3(8b + 2a) = 0 Reorder the terms: 2b + 6b + 24z + -3(2a + 8b) = 0 2b + 6b + 24z + (2a * -3 + 8b * -3) = 0 2b + 6b + 24z + (-6a + -24b) = 0 Reorder the terms: -6a + 2b + 6b + -24b + 24z = 0 Combine like terms: 2b + 6b = 8b -6a + 8b + -24b + 24z = 0 Combine like terms: 8b + -24b = -16b -6a + -16b + 24z = 0 Solving -6a + -16b + 24z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. -6a + -16b + 16b + 24z = 0 + 16b Combine like terms: -16b + 16b = 0 -6a + 0 + 24z = 0 + 16b -6a + 24z = 0 + 16b Remove the zero: -6a + 24z = 16b Add '-24z' to each side of the equation. -6a + 24z + -24z = 16b + -24z Combine like terms: 24z + -24z = 0 -6a + 0 = 16b + -24z -6a = 16b + -24z Divide each side by '-6'. a = -2.666666667b + 4z Simplifying a = -2.666666667b + 4z
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