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Simplifying 5a + -4(a + -5) + 9(b + -5) = 0 Reorder the terms: 5a + -4(-5 + a) + 9(b + -5) = 0 5a + (-5 * -4 + a * -4) + 9(b + -5) = 0 5a + (20 + -4a) + 9(b + -5) = 0 Reorder the terms: 5a + 20 + -4a + 9(-5 + b) = 0 5a + 20 + -4a + (-5 * 9 + b * 9) = 0 5a + 20 + -4a + (-45 + 9b) = 0 Reorder the terms: 20 + -45 + 5a + -4a + 9b = 0 Combine like terms: 20 + -45 = -25 -25 + 5a + -4a + 9b = 0 Combine like terms: 5a + -4a = 1a -25 + 1a + 9b = 0 Solving -25 + 1a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 1a + 25 + 9b = 0 + 25 Reorder the terms: -25 + 25 + 1a + 9b = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1a + 9b = 0 + 25 1a + 9b = 0 + 25 Combine like terms: 0 + 25 = 25 1a + 9b = 25 Add '-9b' to each side of the equation. 1a + 9b + -9b = 25 + -9b Combine like terms: 9b + -9b = 0 1a + 0 = 25 + -9b 1a = 25 + -9b Divide each side by '1'. a = 25 + -9b Simplifying a = 25 + -9b
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