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Simplifying -2(a + -3b) + -1(2a + -1b) = 0 (a * -2 + -3b * -2) + -1(2a + -1b) = 0 (-2a + 6b) + -1(2a + -1b) = 0 -2a + 6b + (2a * -1 + -1b * -1) = 0 -2a + 6b + (-2a + 1b) = 0 Reorder the terms: -2a + -2a + 6b + 1b = 0 Combine like terms: -2a + -2a = -4a -4a + 6b + 1b = 0 Combine like terms: 6b + 1b = 7b -4a + 7b = 0 Solving -4a + 7b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -4a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 -4a + 0 = 0 + -7b -4a = 0 + -7b Remove the zero: -4a = -7b Divide each side by '-4'. a = 1.75b Simplifying a = 1.75b
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