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Simplifying 6a + 9b + -3(7a + -7b) = 0 6a + 9b + (7a * -3 + -7b * -3) = 0 6a + 9b + (-21a + 21b) = 0 Reorder the terms: 6a + -21a + 9b + 21b = 0 Combine like terms: 6a + -21a = -15a -15a + 9b + 21b = 0 Combine like terms: 9b + 21b = 30b -15a + 30b = 0 Solving -15a + 30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30b' to each side of the equation. -15a + 30b + -30b = 0 + -30b Combine like terms: 30b + -30b = 0 -15a + 0 = 0 + -30b -15a = 0 + -30b Remove the zero: -15a = -30b Divide each side by '-15'. a = 2b Simplifying a = 2b
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