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Simplifying -2(4a + 8) = -36 + -4a Reorder the terms: -2(8 + 4a) = -36 + -4a (8 * -2 + 4a * -2) = -36 + -4a (-16 + -8a) = -36 + -4a Solving -16 + -8a = -36 + -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. -16 + -8a + 4a = -36 + -4a + 4a Combine like terms: -8a + 4a = -4a -16 + -4a = -36 + -4a + 4a Combine like terms: -4a + 4a = 0 -16 + -4a = -36 + 0 -16 + -4a = -36 Add '16' to each side of the equation. -16 + 16 + -4a = -36 + 16 Combine like terms: -16 + 16 = 0 0 + -4a = -36 + 16 -4a = -36 + 16 Combine like terms: -36 + 16 = -20 -4a = -20 Divide each side by '-4'. a = 5 Simplifying a = 5
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