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Simplifying 2(5a + 5b) + -5(a + 5b) = 0 (5a * 2 + 5b * 2) + -5(a + 5b) = 0 (10a + 10b) + -5(a + 5b) = 0 10a + 10b + (a * -5 + 5b * -5) = 0 10a + 10b + (-5a + -25b) = 0 Reorder the terms: 10a + -5a + 10b + -25b = 0 Combine like terms: 10a + -5a = 5a 5a + 10b + -25b = 0 Combine like terms: 10b + -25b = -15b 5a + -15b = 0 Solving 5a + -15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15b' to each side of the equation. 5a + -15b + 15b = 0 + 15b Combine like terms: -15b + 15b = 0 5a + 0 = 0 + 15b 5a = 0 + 15b Remove the zero: 5a = 15b Divide each side by '5'. a = 3b Simplifying a = 3b
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