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Simplifying 5(3a + -1) + -6a + 12 = 0 Reorder the terms: 5(-1 + 3a) + -6a + 12 = 0 (-1 * 5 + 3a * 5) + -6a + 12 = 0 (-5 + 15a) + -6a + 12 = 0 Reorder the terms: -5 + 12 + 15a + -6a = 0 Combine like terms: -5 + 12 = 7 7 + 15a + -6a = 0 Combine like terms: 15a + -6a = 9a 7 + 9a = 0 Solving 7 + 9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 9a = 0 + -7 9a = 0 + -7 Combine like terms: 0 + -7 = -7 9a = -7 Divide each side by '9'. a = -0.7777777778 Simplifying a = -0.7777777778
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