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Simplifying 6(a + -1b) + -4(a + -1b) + (b + 2a) = 0 (a * 6 + -1b * 6) + -4(a + -1b) + (b + 2a) = 0 (6a + -6b) + -4(a + -1b) + (b + 2a) = 0 6a + -6b + (a * -4 + -1b * -4) + (b + 2a) = 0 6a + -6b + (-4a + 4b) + (b + 2a) = 0 Reorder the terms: 6a + -6b + -4a + 4b + (2a + b) = 0 Remove parenthesis around (2a + b) 6a + -6b + -4a + 4b + 2a + b = 0 Reorder the terms: 6a + -4a + 2a + -6b + 4b + b = 0 Combine like terms: 6a + -4a = 2a 2a + 2a + -6b + 4b + b = 0 Combine like terms: 2a + 2a = 4a 4a + -6b + 4b + b = 0 Combine like terms: -6b + 4b = -2b 4a + -2b + b = 0 Combine like terms: -2b + b = -1b 4a + -1b = 0 Solving 4a + -1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 4a + -1b + b = 0 + b Combine like terms: -1b + b = 0 4a + 0 = 0 + b 4a = 0 + b Remove the zero: 4a = b Divide each side by '4'. a = 0.25b Simplifying a = 0.25b
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