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Simplifying 3a + -2b + -5a + 4b + -6a + 3b = 0 Reorder the terms: 3a + -5a + -6a + -2b + 4b + 3b = 0 Combine like terms: 3a + -5a = -2a -2a + -6a + -2b + 4b + 3b = 0 Combine like terms: -2a + -6a = -8a -8a + -2b + 4b + 3b = 0 Combine like terms: -2b + 4b = 2b -8a + 2b + 3b = 0 Combine like terms: 2b + 3b = 5b -8a + 5b = 0 Solving -8a + 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. -8a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 -8a + 0 = 0 + -5b -8a = 0 + -5b Remove the zero: -8a = -5b Divide each side by '-8'. a = 0.625b Simplifying a = 0.625b
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