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Simplifying -45 = 9(a + 12) Reorder the terms: -45 = 9(12 + a) -45 = (12 * 9 + a * 9) -45 = (108 + 9a) Solving -45 = 108 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -45 + -9a = 108 + 9a + -9a Combine like terms: 9a + -9a = 0 -45 + -9a = 108 + 0 -45 + -9a = 108 Add '45' to each side of the equation. -45 + 45 + -9a = 108 + 45 Combine like terms: -45 + 45 = 0 0 + -9a = 108 + 45 -9a = 108 + 45 Combine like terms: 108 + 45 = 153 -9a = 153 Divide each side by '-9'. a = -17 Simplifying a = -17
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