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Simplifying 3(a + -6) + 9(7 + -1a) = 0 Reorder the terms: 3(-6 + a) + 9(7 + -1a) = 0 (-6 * 3 + a * 3) + 9(7 + -1a) = 0 (-18 + 3a) + 9(7 + -1a) = 0 -18 + 3a + (7 * 9 + -1a * 9) = 0 -18 + 3a + (63 + -9a) = 0 Reorder the terms: -18 + 63 + 3a + -9a = 0 Combine like terms: -18 + 63 = 45 45 + 3a + -9a = 0 Combine like terms: 3a + -9a = -6a 45 + -6a = 0 Solving 45 + -6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -6a = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -6a = 0 + -45 -6a = 0 + -45 Combine like terms: 0 + -45 = -45 -6a = -45 Divide each side by '-6'. a = 7.5 Simplifying a = 7.5
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