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Simplifying 7a + 9b + -3(7a + -5b) = 0 7a + 9b + (7a * -3 + -5b * -3) = 0 7a + 9b + (-21a + 15b) = 0 Reorder the terms: 7a + -21a + 9b + 15b = 0 Combine like terms: 7a + -21a = -14a -14a + 9b + 15b = 0 Combine like terms: 9b + 15b = 24b -14a + 24b = 0 Solving -14a + 24b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24b' to each side of the equation. -14a + 24b + -24b = 0 + -24b Combine like terms: 24b + -24b = 0 -14a + 0 = 0 + -24b -14a = 0 + -24b Remove the zero: -14a = -24b Divide each side by '-14'. a = 1.714285714b Simplifying a = 1.714285714b
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