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Simplifying 3(a + 6)(4 + -12) = 18 Reorder the terms: 3(6 + a)(4 + -12) = 18 Combine like terms: 4 + -12 = -8 3(6 + a)(-8) = 18 Reorder the terms for easier multiplication: 3 * -8(6 + a) = 18 Multiply 3 * -8 -24(6 + a) = 18 (6 * -24 + a * -24) = 18 (-144 + -24a) = 18 Solving -144 + -24a = 18 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + -24a = 18 + 144 Combine like terms: -144 + 144 = 0 0 + -24a = 18 + 144 -24a = 18 + 144 Combine like terms: 18 + 144 = 162 -24a = 162 Divide each side by '-24'. a = -6.75 Simplifying a = -6.75
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