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Simplifying -2(4a + -6b) + -1(a + -1b) = 0 (4a * -2 + -6b * -2) + -1(a + -1b) = 0 (-8a + 12b) + -1(a + -1b) = 0 -8a + 12b + (a * -1 + -1b * -1) = 0 -8a + 12b + (-1a + 1b) = 0 Reorder the terms: -8a + -1a + 12b + 1b = 0 Combine like terms: -8a + -1a = -9a -9a + 12b + 1b = 0 Combine like terms: 12b + 1b = 13b -9a + 13b = 0 Solving -9a + 13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. -9a + 13b + -13b = 0 + -13b Combine like terms: 13b + -13b = 0 -9a + 0 = 0 + -13b -9a = 0 + -13b Remove the zero: -9a = -13b Divide each side by '-9'. a = 1.444444444b Simplifying a = 1.444444444b
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