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Simplifying 5a + 7(a + -5) + -3(b + -5) = 0 Reorder the terms: 5a + 7(-5 + a) + -3(b + -5) = 0 5a + (-5 * 7 + a * 7) + -3(b + -5) = 0 5a + (-35 + 7a) + -3(b + -5) = 0 Reorder the terms: 5a + -35 + 7a + -3(-5 + b) = 0 5a + -35 + 7a + (-5 * -3 + b * -3) = 0 5a + -35 + 7a + (15 + -3b) = 0 Reorder the terms: -35 + 15 + 5a + 7a + -3b = 0 Combine like terms: -35 + 15 = -20 -20 + 5a + 7a + -3b = 0 Combine like terms: 5a + 7a = 12a -20 + 12a + -3b = 0 Solving -20 + 12a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 12a + 20 + -3b = 0 + 20 Reorder the terms: -20 + 20 + 12a + -3b = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 12a + -3b = 0 + 20 12a + -3b = 0 + 20 Combine like terms: 0 + 20 = 20 12a + -3b = 20 Add '3b' to each side of the equation. 12a + -3b + 3b = 20 + 3b Combine like terms: -3b + 3b = 0 12a + 0 = 20 + 3b 12a = 20 + 3b Divide each side by '12'. a = 1.666666667 + 0.25b Simplifying a = 1.666666667 + 0.25b
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