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Simplifying -4(a + -3b) + -5(a + -3b) = 0 (a * -4 + -3b * -4) + -5(a + -3b) = 0 (-4a + 12b) + -5(a + -3b) = 0 -4a + 12b + (a * -5 + -3b * -5) = 0 -4a + 12b + (-5a + 15b) = 0 Reorder the terms: -4a + -5a + 12b + 15b = 0 Combine like terms: -4a + -5a = -9a -9a + 12b + 15b = 0 Combine like terms: 12b + 15b = 27b -9a + 27b = 0 Solving -9a + 27b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27b' to each side of the equation. -9a + 27b + -27b = 0 + -27b Combine like terms: 27b + -27b = 0 -9a + 0 = 0 + -27b -9a = 0 + -27b Remove the zero: -9a = -27b Divide each side by '-9'. a = 3b Simplifying a = 3b
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