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Simplifying -3(a + 1) + 2(9 + -2a) + 6 = 0 Reorder the terms: -3(1 + a) + 2(9 + -2a) + 6 = 0 (1 * -3 + a * -3) + 2(9 + -2a) + 6 = 0 (-3 + -3a) + 2(9 + -2a) + 6 = 0 -3 + -3a + (9 * 2 + -2a * 2) + 6 = 0 -3 + -3a + (18 + -4a) + 6 = 0 Reorder the terms: -3 + 18 + 6 + -3a + -4a = 0 Combine like terms: -3 + 18 = 15 15 + 6 + -3a + -4a = 0 Combine like terms: 15 + 6 = 21 21 + -3a + -4a = 0 Combine like terms: -3a + -4a = -7a 21 + -7a = 0 Solving 21 + -7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -7a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7a = 0 + -21 -7a = 0 + -21 Combine like terms: 0 + -21 = -21 -7a = -21 Divide each side by '-7'. a = 3 Simplifying a = 3
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