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Simplifying 7a + 2b + -4(6a + -9b) = 0 7a + 2b + (6a * -4 + -9b * -4) = 0 7a + 2b + (-24a + 36b) = 0 Reorder the terms: 7a + -24a + 2b + 36b = 0 Combine like terms: 7a + -24a = -17a -17a + 2b + 36b = 0 Combine like terms: 2b + 36b = 38b -17a + 38b = 0 Solving -17a + 38b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-38b' to each side of the equation. -17a + 38b + -38b = 0 + -38b Combine like terms: 38b + -38b = 0 -17a + 0 = 0 + -38b -17a = 0 + -38b Remove the zero: -17a = -38b Divide each side by '-17'. a = 2.235294118b Simplifying a = 2.235294118b
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