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Simplifying 7a + 3b + -8(9a + -4b) = 0 7a + 3b + (9a * -8 + -4b * -8) = 0 7a + 3b + (-72a + 32b) = 0 Reorder the terms: 7a + -72a + 3b + 32b = 0 Combine like terms: 7a + -72a = -65a -65a + 3b + 32b = 0 Combine like terms: 3b + 32b = 35b -65a + 35b = 0 Solving -65a + 35b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35b' to each side of the equation. -65a + 35b + -35b = 0 + -35b Combine like terms: 35b + -35b = 0 -65a + 0 = 0 + -35b -65a = 0 + -35b Remove the zero: -65a = -35b Divide each side by '-65'. a = 0.5384615385b Simplifying a = 0.5384615385b
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