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Simplifying 4a + 5a = 3(1 + -2a) + 6(3a + 3) Combine like terms: 4a + 5a = 9a 9a = 3(1 + -2a) + 6(3a + 3) 9a = (1 * 3 + -2a * 3) + 6(3a + 3) 9a = (3 + -6a) + 6(3a + 3) Reorder the terms: 9a = 3 + -6a + 6(3 + 3a) 9a = 3 + -6a + (3 * 6 + 3a * 6) 9a = 3 + -6a + (18 + 18a) Reorder the terms: 9a = 3 + 18 + -6a + 18a Combine like terms: 3 + 18 = 21 9a = 21 + -6a + 18a Combine like terms: -6a + 18a = 12a 9a = 21 + 12a Solving 9a = 21 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 9a + -12a = 21 + 12a + -12a Combine like terms: 9a + -12a = -3a -3a = 21 + 12a + -12a Combine like terms: 12a + -12a = 0 -3a = 21 + 0 -3a = 21 Divide each side by '-3'. a = -7 Simplifying a = -7
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