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Simplifying -5(2a + 8b + -5) + -3(-9b + -5a + 7) = 0 Reorder the terms: -5(-5 + 2a + 8b) + -3(-9b + -5a + 7) = 0 (-5 * -5 + 2a * -5 + 8b * -5) + -3(-9b + -5a + 7) = 0 (25 + -10a + -40b) + -3(-9b + -5a + 7) = 0 Reorder the terms: 25 + -10a + -40b + -3(7 + -5a + -9b) = 0 25 + -10a + -40b + (7 * -3 + -5a * -3 + -9b * -3) = 0 25 + -10a + -40b + (-21 + 15a + 27b) = 0 Reorder the terms: 25 + -21 + -10a + 15a + -40b + 27b = 0 Combine like terms: 25 + -21 = 4 4 + -10a + 15a + -40b + 27b = 0 Combine like terms: -10a + 15a = 5a 4 + 5a + -40b + 27b = 0 Combine like terms: -40b + 27b = -13b 4 + 5a + -13b = 0 Solving 4 + 5a + -13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5a + -4 + -13b = 0 + -4 Reorder the terms: 4 + -4 + 5a + -13b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5a + -13b = 0 + -4 5a + -13b = 0 + -4 Combine like terms: 0 + -4 = -4 5a + -13b = -4 Add '13b' to each side of the equation. 5a + -13b + 13b = -4 + 13b Combine like terms: -13b + 13b = 0 5a + 0 = -4 + 13b 5a = -4 + 13b Divide each side by '5'. a = -0.8 + 2.6b Simplifying a = -0.8 + 2.6b
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