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Simplifying 2a + 4b + -6a + -2b + a + 3b = 0 Reorder the terms: 2a + -6a + a + 4b + -2b + 3b = 0 Combine like terms: 2a + -6a = -4a -4a + a + 4b + -2b + 3b = 0 Combine like terms: -4a + a = -3a -3a + 4b + -2b + 3b = 0 Combine like terms: 4b + -2b = 2b -3a + 2b + 3b = 0 Combine like terms: 2b + 3b = 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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