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Simplifying 4(b + -1a) + 3(b + a) + -2(a + b) = 0 Reorder the terms: 4(-1a + b) + 3(b + a) + -2(a + b) = 0 (-1a * 4 + b * 4) + 3(b + a) + -2(a + b) = 0 (-4a + 4b) + 3(b + a) + -2(a + b) = 0 Reorder the terms: -4a + 4b + 3(a + b) + -2(a + b) = 0 -4a + 4b + (a * 3 + b * 3) + -2(a + b) = 0 -4a + 4b + (3a + 3b) + -2(a + b) = 0 -4a + 4b + 3a + 3b + (a * -2 + b * -2) = 0 -4a + 4b + 3a + 3b + (-2a + -2b) = 0 Reorder the terms: -4a + 3a + -2a + 4b + 3b + -2b = 0 Combine like terms: -4a + 3a = -1a -1a + -2a + 4b + 3b + -2b = 0 Combine like terms: -1a + -2a = -3a -3a + 4b + 3b + -2b = 0 Combine like terms: 4b + 3b = 7b -3a + 7b + -2b = 0 Combine like terms: 7b + -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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