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Simplifying 4a(6 + 12) * 4 + 6b * 64 = 0 Combine like terms: 6 + 12 = 18 4a(18) * 4 + 6b * 64 = 0 Reorder the terms for easier multiplication: 4 * 18 * 4a + 6b * 64 = 0 Multiply 4 * 18 72 * 4a + 6b * 64 = 0 Multiply 72 * 4 288a + 6b * 64 = 0 Reorder the terms for easier multiplication: 288a + 6 * 64b = 0 Multiply 6 * 64 288a + 384b = 0 Solving 288a + 384b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-384b' to each side of the equation. 288a + 384b + -384b = 0 + -384b Combine like terms: 384b + -384b = 0 288a + 0 = 0 + -384b 288a = 0 + -384b Remove the zero: 288a = -384b Divide each side by '288'. a = -1.333333333b Simplifying a = -1.333333333b
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