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Simplifying -4(-4a + -4) + -9 = -12a + -11(a + 10) Reorder the terms: -4(-4 + -4a) + -9 = -12a + -11(a + 10) (-4 * -4 + -4a * -4) + -9 = -12a + -11(a + 10) (16 + 16a) + -9 = -12a + -11(a + 10) Reorder the terms: 16 + -9 + 16a = -12a + -11(a + 10) Combine like terms: 16 + -9 = 7 7 + 16a = -12a + -11(a + 10) Reorder the terms: 7 + 16a = -12a + -11(10 + a) 7 + 16a = -12a + (10 * -11 + a * -11) 7 + 16a = -12a + (-110 + -11a) Reorder the terms: 7 + 16a = -110 + -12a + -11a Combine like terms: -12a + -11a = -23a 7 + 16a = -110 + -23a Solving 7 + 16a = -110 + -23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23a' to each side of the equation. 7 + 16a + 23a = -110 + -23a + 23a Combine like terms: 16a + 23a = 39a 7 + 39a = -110 + -23a + 23a Combine like terms: -23a + 23a = 0 7 + 39a = -110 + 0 7 + 39a = -110 Add '-7' to each side of the equation. 7 + -7 + 39a = -110 + -7 Combine like terms: 7 + -7 = 0 0 + 39a = -110 + -7 39a = -110 + -7 Combine like terms: -110 + -7 = -117 39a = -117 Divide each side by '39'. a = -3 Simplifying a = -3
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