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Simplifying 6(a + -1b) + -5(2a + 4b) = 0 (a * 6 + -1b * 6) + -5(2a + 4b) = 0 (6a + -6b) + -5(2a + 4b) = 0 6a + -6b + (2a * -5 + 4b * -5) = 0 6a + -6b + (-10a + -20b) = 0 Reorder the terms: 6a + -10a + -6b + -20b = 0 Combine like terms: 6a + -10a = -4a -4a + -6b + -20b = 0 Combine like terms: -6b + -20b = -26b -4a + -26b = 0 Solving -4a + -26b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26b' to each side of the equation. -4a + -26b + 26b = 0 + 26b Combine like terms: -26b + 26b = 0 -4a + 0 = 0 + 26b -4a = 0 + 26b Remove the zero: -4a = 26b Divide each side by '-4'. a = -6.5b Simplifying a = -6.5b
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