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Simplifying -12a + 8(a + 3) = -9a + -4(3a + 11) Reorder the terms: -12a + 8(3 + a) = -9a + -4(3a + 11) -12a + (3 * 8 + a * 8) = -9a + -4(3a + 11) -12a + (24 + 8a) = -9a + -4(3a + 11) Reorder the terms: 24 + -12a + 8a = -9a + -4(3a + 11) Combine like terms: -12a + 8a = -4a 24 + -4a = -9a + -4(3a + 11) Reorder the terms: 24 + -4a = -9a + -4(11 + 3a) 24 + -4a = -9a + (11 * -4 + 3a * -4) 24 + -4a = -9a + (-44 + -12a) Reorder the terms: 24 + -4a = -44 + -9a + -12a Combine like terms: -9a + -12a = -21a 24 + -4a = -44 + -21a Solving 24 + -4a = -44 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. 24 + -4a + 21a = -44 + -21a + 21a Combine like terms: -4a + 21a = 17a 24 + 17a = -44 + -21a + 21a Combine like terms: -21a + 21a = 0 24 + 17a = -44 + 0 24 + 17a = -44 Add '-24' to each side of the equation. 24 + -24 + 17a = -44 + -24 Combine like terms: 24 + -24 = 0 0 + 17a = -44 + -24 17a = -44 + -24 Combine like terms: -44 + -24 = -68 17a = -68 Divide each side by '17'. a = -4 Simplifying a = -4
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