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Simplifying 3a + 12(-4a + -12) = (9a + -7) Reorder the terms: 3a + 12(-12 + -4a) = (9a + -7) 3a + (-12 * 12 + -4a * 12) = (9a + -7) 3a + (-144 + -48a) = (9a + -7) Reorder the terms: -144 + 3a + -48a = (9a + -7) Combine like terms: 3a + -48a = -45a -144 + -45a = (9a + -7) Reorder the terms: -144 + -45a = (-7 + 9a) Remove parenthesis around (-7 + 9a) -144 + -45a = -7 + 9a Solving -144 + -45a = -7 + 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. -144 + -45a + -9a = -7 + 9a + -9a Combine like terms: -45a + -9a = -54a -144 + -54a = -7 + 9a + -9a Combine like terms: 9a + -9a = 0 -144 + -54a = -7 + 0 -144 + -54a = -7 Add '144' to each side of the equation. -144 + 144 + -54a = -7 + 144 Combine like terms: -144 + 144 = 0 0 + -54a = -7 + 144 -54a = -7 + 144 Combine like terms: -7 + 144 = 137 -54a = 137 Divide each side by '-54'. a = -2.537037037 Simplifying a = -2.537037037
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