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Simplifying -12(-3 + 3a) = -6(11 + 7a) (-3 * -12 + 3a * -12) = -6(11 + 7a) (36 + -36a) = -6(11 + 7a) 36 + -36a = (11 * -6 + 7a * -6) 36 + -36a = (-66 + -42a) Solving 36 + -36a = -66 + -42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '42a' to each side of the equation. 36 + -36a + 42a = -66 + -42a + 42a Combine like terms: -36a + 42a = 6a 36 + 6a = -66 + -42a + 42a Combine like terms: -42a + 42a = 0 36 + 6a = -66 + 0 36 + 6a = -66 Add '-36' to each side of the equation. 36 + -36 + 6a = -66 + -36 Combine like terms: 36 + -36 = 0 0 + 6a = -66 + -36 6a = -66 + -36 Combine like terms: -66 + -36 = -102 6a = -102 Divide each side by '6'. a = -17 Simplifying a = -17
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