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Simplifying 4(2a + b) + -3(3a + -4b) = 0 (2a * 4 + b * 4) + -3(3a + -4b) = 0 (8a + 4b) + -3(3a + -4b) = 0 8a + 4b + (3a * -3 + -4b * -3) = 0 8a + 4b + (-9a + 12b) = 0 Reorder the terms: 8a + -9a + 4b + 12b = 0 Combine like terms: 8a + -9a = -1a -1a + 4b + 12b = 0 Combine like terms: 4b + 12b = 16b -1a + 16b = 0 Solving -1a + 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. -1a + 16b + -16b = 0 + -16b Combine like terms: 16b + -16b = 0 -1a + 0 = 0 + -16b -1a = 0 + -16b Remove the zero: -1a = -16b Divide each side by '-1'. a = 16b Simplifying a = 16b
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