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Simplifying -1(a + 2b) + 4(a + -3b) + -2(2a + b) = 0 (a * -1 + 2b * -1) + 4(a + -3b) + -2(2a + b) = 0 (-1a + -2b) + 4(a + -3b) + -2(2a + b) = 0 -1a + -2b + (a * 4 + -3b * 4) + -2(2a + b) = 0 -1a + -2b + (4a + -12b) + -2(2a + b) = 0 -1a + -2b + 4a + -12b + (2a * -2 + b * -2) = 0 -1a + -2b + 4a + -12b + (-4a + -2b) = 0 Reorder the terms: -1a + 4a + -4a + -2b + -12b + -2b = 0 Combine like terms: -1a + 4a = 3a 3a + -4a + -2b + -12b + -2b = 0 Combine like terms: 3a + -4a = -1a -1a + -2b + -12b + -2b = 0 Combine like terms: -2b + -12b = -14b -1a + -14b + -2b = 0 Combine like terms: -14b + -2b = -16b -1a + -16b = 0 Solving -1a + -16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16b' to each side of the equation. -1a + -16b + 16b = 0 + 16b Combine like terms: -16b + 16b = 0 -1a + 0 = 0 + 16b -1a = 0 + 16b Remove the zero: -1a = 16b Divide each side by '-1'. a = -16b Simplifying a = -16b
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