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Simplifying 4(4a + b) + 4(2a + 3b) = 0 (4a * 4 + b * 4) + 4(2a + 3b) = 0 (16a + 4b) + 4(2a + 3b) = 0 16a + 4b + (2a * 4 + 3b * 4) = 0 16a + 4b + (8a + 12b) = 0 Reorder the terms: 16a + 8a + 4b + 12b = 0 Combine like terms: 16a + 8a = 24a 24a + 4b + 12b = 0 Combine like terms: 4b + 12b = 16b 24a + 16b = 0 Solving 24a + 16b = 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. 24a + 16b + -16b = 0 + -16b Combine like terms: 16b + -16b = 0 24a + 0 = 0 + -16b 24a = 0 + -16b Remove the zero: 24a = -16b Divide each side by '24'. a = -0.6666666667b Simplifying a = -0.6666666667b
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