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Simplifying -6a + 3(1 + -3b + 7) = 0 Reorder the terms: -6a + 3(1 + 7 + -3b) = 0 Combine like terms: 1 + 7 = 8 -6a + 3(8 + -3b) = 0 -6a + (8 * 3 + -3b * 3) = 0 -6a + (24 + -9b) = 0 Reorder the terms: 24 + -6a + -9b = 0 Solving 24 + -6a + -9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -6a + -24 + -9b = 0 + -24 Reorder the terms: 24 + -24 + -6a + -9b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6a + -9b = 0 + -24 -6a + -9b = 0 + -24 Combine like terms: 0 + -24 = -24 -6a + -9b = -24 Add '9b' to each side of the equation. -6a + -9b + 9b = -24 + 9b Combine like terms: -9b + 9b = 0 -6a + 0 = -24 + 9b -6a = -24 + 9b Divide each side by '-6'. a = 4 + -1.5b Simplifying a = 4 + -1.5b
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