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Simplifying -10(a + 12) + -11(a + -12) = -9a + 11 + -3 + -11a Reorder the terms: -10(12 + a) + -11(a + -12) = -9a + 11 + -3 + -11a (12 * -10 + a * -10) + -11(a + -12) = -9a + 11 + -3 + -11a (-120 + -10a) + -11(a + -12) = -9a + 11 + -3 + -11a Reorder the terms: -120 + -10a + -11(-12 + a) = -9a + 11 + -3 + -11a -120 + -10a + (-12 * -11 + a * -11) = -9a + 11 + -3 + -11a -120 + -10a + (132 + -11a) = -9a + 11 + -3 + -11a Reorder the terms: -120 + 132 + -10a + -11a = -9a + 11 + -3 + -11a Combine like terms: -120 + 132 = 12 12 + -10a + -11a = -9a + 11 + -3 + -11a Combine like terms: -10a + -11a = -21a 12 + -21a = -9a + 11 + -3 + -11a Reorder the terms: 12 + -21a = 11 + -3 + -9a + -11a Combine like terms: 11 + -3 = 8 12 + -21a = 8 + -9a + -11a Combine like terms: -9a + -11a = -20a 12 + -21a = 8 + -20a Solving 12 + -21a = 8 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 12 + -21a + 20a = 8 + -20a + 20a Combine like terms: -21a + 20a = -1a 12 + -1a = 8 + -20a + 20a Combine like terms: -20a + 20a = 0 12 + -1a = 8 + 0 12 + -1a = 8 Add '-12' to each side of the equation. 12 + -12 + -1a = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = 8 + -12 -1a = 8 + -12 Combine like terms: 8 + -12 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4
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