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Simplifying 4a + 2b + -7(4a + -9b) = 0 4a + 2b + (4a * -7 + -9b * -7) = 0 4a + 2b + (-28a + 63b) = 0 Reorder the terms: 4a + -28a + 2b + 63b = 0 Combine like terms: 4a + -28a = -24a -24a + 2b + 63b = 0 Combine like terms: 2b + 63b = 65b -24a + 65b = 0 Solving -24a + 65b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-65b' to each side of the equation. -24a + 65b + -65b = 0 + -65b Combine like terms: 65b + -65b = 0 -24a + 0 = 0 + -65b -24a = 0 + -65b Remove the zero: -24a = -65b Divide each side by '-24'. a = 2.708333333b Simplifying a = 2.708333333b
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