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Simplifying 2(4b + -1a) + -2(a + -3b) = 0 Reorder the terms: 2(-1a + 4b) + -2(a + -3b) = 0 (-1a * 2 + 4b * 2) + -2(a + -3b) = 0 (-2a + 8b) + -2(a + -3b) = 0 -2a + 8b + (a * -2 + -3b * -2) = 0 -2a + 8b + (-2a + 6b) = 0 Reorder the terms: -2a + -2a + 8b + 6b = 0 Combine like terms: -2a + -2a = -4a -4a + 8b + 6b = 0 Combine like terms: 8b + 6b = 14b -4a + 14b = 0 Solving -4a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. -4a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 -4a + 0 = 0 + -14b -4a = 0 + -14b Remove the zero: -4a = -14b Divide each side by '-4'. a = 3.5b Simplifying a = 3.5b
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