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Simplifying 12(a + 11) = -2(12a + 6) Reorder the terms: 12(11 + a) = -2(12a + 6) (11 * 12 + a * 12) = -2(12a + 6) (132 + 12a) = -2(12a + 6) Reorder the terms: 132 + 12a = -2(6 + 12a) 132 + 12a = (6 * -2 + 12a * -2) 132 + 12a = (-12 + -24a) Solving 132 + 12a = -12 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. 132 + 12a + 24a = -12 + -24a + 24a Combine like terms: 12a + 24a = 36a 132 + 36a = -12 + -24a + 24a Combine like terms: -24a + 24a = 0 132 + 36a = -12 + 0 132 + 36a = -12 Add '-132' to each side of the equation. 132 + -132 + 36a = -12 + -132 Combine like terms: 132 + -132 = 0 0 + 36a = -12 + -132 36a = -12 + -132 Combine like terms: -12 + -132 = -144 36a = -144 Divide each side by '36'. a = -4 Simplifying a = -4
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