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Simplifying -10(2a + -3b) + -1(4b + -2a) = 0 (2a * -10 + -3b * -10) + -1(4b + -2a) = 0 (-20a + 30b) + -1(4b + -2a) = 0 Reorder the terms: -20a + 30b + -1(-2a + 4b) = 0 -20a + 30b + (-2a * -1 + 4b * -1) = 0 -20a + 30b + (2a + -4b) = 0 Reorder the terms: -20a + 2a + 30b + -4b = 0 Combine like terms: -20a + 2a = -18a -18a + 30b + -4b = 0 Combine like terms: 30b + -4b = 26b -18a + 26b = 0 Solving -18a + 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. -18a + 26b + -26b = 0 + -26b Combine like terms: 26b + -26b = 0 -18a + 0 = 0 + -26b -18a = 0 + -26b Remove the zero: -18a = -26b Divide each side by '-18'. a = 1.444444444b Simplifying a = 1.444444444b
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