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Simplifying -3 + -3(a + -9) = -2 + -5(12 + 3a) Reorder the terms: -3 + -3(-9 + a) = -2 + -5(12 + 3a) -3 + (-9 * -3 + a * -3) = -2 + -5(12 + 3a) -3 + (27 + -3a) = -2 + -5(12 + 3a) Combine like terms: -3 + 27 = 24 24 + -3a = -2 + -5(12 + 3a) 24 + -3a = -2 + (12 * -5 + 3a * -5) 24 + -3a = -2 + (-60 + -15a) Combine like terms: -2 + -60 = -62 24 + -3a = -62 + -15a Solving 24 + -3a = -62 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 24 + -3a + 15a = -62 + -15a + 15a Combine like terms: -3a + 15a = 12a 24 + 12a = -62 + -15a + 15a Combine like terms: -15a + 15a = 0 24 + 12a = -62 + 0 24 + 12a = -62 Add '-24' to each side of the equation. 24 + -24 + 12a = -62 + -24 Combine like terms: 24 + -24 = 0 0 + 12a = -62 + -24 12a = -62 + -24 Combine like terms: -62 + -24 = -86 12a = -86 Divide each side by '12'. a = -7.166666667 Simplifying a = -7.166666667
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