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Simplifying -4 + 4(a + -9) = -12(a + 2) Reorder the terms: -4 + 4(-9 + a) = -12(a + 2) -4 + (-9 * 4 + a * 4) = -12(a + 2) -4 + (-36 + 4a) = -12(a + 2) Combine like terms: -4 + -36 = -40 -40 + 4a = -12(a + 2) Reorder the terms: -40 + 4a = -12(2 + a) -40 + 4a = (2 * -12 + a * -12) -40 + 4a = (-24 + -12a) Solving -40 + 4a = -24 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -40 + 4a + 12a = -24 + -12a + 12a Combine like terms: 4a + 12a = 16a -40 + 16a = -24 + -12a + 12a Combine like terms: -12a + 12a = 0 -40 + 16a = -24 + 0 -40 + 16a = -24 Add '40' to each side of the equation. -40 + 40 + 16a = -24 + 40 Combine like terms: -40 + 40 = 0 0 + 16a = -24 + 40 16a = -24 + 40 Combine like terms: -24 + 40 = 16 16a = 16 Divide each side by '16'. a = 1 Simplifying a = 1
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