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Simplifying 7(3a + 4b) + -8(a + 9b) = 0 (3a * 7 + 4b * 7) + -8(a + 9b) = 0 (21a + 28b) + -8(a + 9b) = 0 21a + 28b + (a * -8 + 9b * -8) = 0 21a + 28b + (-8a + -72b) = 0 Reorder the terms: 21a + -8a + 28b + -72b = 0 Combine like terms: 21a + -8a = 13a 13a + 28b + -72b = 0 Combine like terms: 28b + -72b = -44b 13a + -44b = 0 Solving 13a + -44b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '44b' to each side of the equation. 13a + -44b + 44b = 0 + 44b Combine like terms: -44b + 44b = 0 13a + 0 = 0 + 44b 13a = 0 + 44b Remove the zero: 13a = 44b Divide each side by '13'. a = 3.384615385b Simplifying a = 3.384615385b
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