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Simplifying 4(1 + 4a) = 8a + -36 (1 * 4 + 4a * 4) = 8a + -36 (4 + 16a) = 8a + -36 Reorder the terms: 4 + 16a = -36 + 8a Solving 4 + 16a = -36 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 4 + 16a + -8a = -36 + 8a + -8a Combine like terms: 16a + -8a = 8a 4 + 8a = -36 + 8a + -8a Combine like terms: 8a + -8a = 0 4 + 8a = -36 + 0 4 + 8a = -36 Add '-4' to each side of the equation. 4 + -4 + 8a = -36 + -4 Combine like terms: 4 + -4 = 0 0 + 8a = -36 + -4 8a = -36 + -4 Combine like terms: -36 + -4 = -40 8a = -40 Divide each side by '8'. a = -5 Simplifying a = -5
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