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Simplifying -3a + (6a + 2b) + -1(7a + -3b) = 0 Remove parenthesis around (6a + 2b) -3a + 6a + 2b + -1(7a + -3b) = 0 -3a + 6a + 2b + (7a * -1 + -3b * -1) = 0 -3a + 6a + 2b + (-7a + 3b) = 0 Reorder the terms: -3a + 6a + -7a + 2b + 3b = 0 Combine like terms: -3a + 6a = 3a 3a + -7a + 2b + 3b = 0 Combine like terms: 3a + -7a = -4a -4a + 2b + 3b = 0 Combine like terms: 2b + 3b = 5b -4a + 5b = 0 Solving -4a + 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. -4a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 -4a + 0 = 0 + -5b -4a = 0 + -5b Remove the zero: -4a = -5b Divide each side by '-4'. a = 1.25b Simplifying a = 1.25b
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