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