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Simplifying -1(a + -3b) + -1(2a + -2b) = 0 (a * -1 + -3b * -1) + -1(2a + -2b) = 0 (-1a + 3b) + -1(2a + -2b) = 0 -1a + 3b + (2a * -1 + -2b * -1) = 0 -1a + 3b + (-2a + 2b) = 0 Reorder the terms: -1a + -2a + 3b + 2b = 0 Combine like terms: -1a + -2a = -3a -3a + 3b + 2b = 0 Combine like terms: 3b + 2b = 5b -3a + 5b = 0 Solving -3a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. -3a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 -3a + 0 = 0 + -5b -3a = 0 + -5b Remove the zero: -3a = -5b Divide each side by '-3'. a = 1.666666667b Simplifying a = 1.666666667b
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