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Simplifying 4(9 + -6) = 8a + -1(4a + -24) Combine like terms: 9 + -6 = 3 4(3) = 8a + -1(4a + -24) Multiply 4 * 3 12 = 8a + -1(4a + -24) Reorder the terms: 12 = 8a + -1(-24 + 4a) 12 = 8a + (-24 * -1 + 4a * -1) 12 = 8a + (24 + -4a) Reorder the terms: 12 = 24 + 8a + -4a Combine like terms: 8a + -4a = 4a 12 = 24 + 4a Solving 12 = 24 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 12 + -4a = 24 + 4a + -4a Combine like terms: 4a + -4a = 0 12 + -4a = 24 + 0 12 + -4a = 24 Add '-12' to each side of the equation. 12 + -12 + -4a = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -4a = 24 + -12 -4a = 24 + -12 Combine like terms: 24 + -12 = 12 -4a = 12 Divide each side by '-4'. a = -3 Simplifying a = -3
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