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Simplifying 3(a + 3b + -6a + 2) = 0 Reorder the terms: 3(2 + a + -6a + 3b) = 0 Combine like terms: a + -6a = -5a 3(2 + -5a + 3b) = 0 (2 * 3 + -5a * 3 + 3b * 3) = 0 (6 + -15a + 9b) = 0 Solving 6 + -15a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -15a + -6 + 9b = 0 + -6 Reorder the terms: 6 + -6 + -15a + 9b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -15a + 9b = 0 + -6 -15a + 9b = 0 + -6 Combine like terms: 0 + -6 = -6 -15a + 9b = -6 Add '-9b' to each side of the equation. -15a + 9b + -9b = -6 + -9b Combine like terms: 9b + -9b = 0 -15a + 0 = -6 + -9b -15a = -6 + -9b Divide each side by '-15'. a = 0.4 + 0.6b Simplifying a = 0.4 + 0.6b
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