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Simplifying 3(a + 3) = 12(a + -5) Reorder the terms: 3(3 + a) = 12(a + -5) (3 * 3 + a * 3) = 12(a + -5) (9 + 3a) = 12(a + -5) Reorder the terms: 9 + 3a = 12(-5 + a) 9 + 3a = (-5 * 12 + a * 12) 9 + 3a = (-60 + 12a) Solving 9 + 3a = -60 + 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. 9 + 3a + -12a = -60 + 12a + -12a Combine like terms: 3a + -12a = -9a 9 + -9a = -60 + 12a + -12a Combine like terms: 12a + -12a = 0 9 + -9a = -60 + 0 9 + -9a = -60 Add '-9' to each side of the equation. 9 + -9 + -9a = -60 + -9 Combine like terms: 9 + -9 = 0 0 + -9a = -60 + -9 -9a = -60 + -9 Combine like terms: -60 + -9 = -69 -9a = -69 Divide each side by '-9'. a = 7.666666667 Simplifying a = 7.666666667
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