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Simplifying -8a + 4(1 + a) = -12 + 4a -8a + (1 * 4 + a * 4) = -12 + 4a -8a + (4 + 4a) = -12 + 4a Reorder the terms: 4 + -8a + 4a = -12 + 4a Combine like terms: -8a + 4a = -4a 4 + -4a = -12 + 4a Solving 4 + -4a = -12 + 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. 4 + -4a + -4a = -12 + 4a + -4a Combine like terms: -4a + -4a = -8a 4 + -8a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 4 + -8a = -12 + 0 4 + -8a = -12 Add '-4' to each side of the equation. 4 + -4 + -8a = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -8a = -12 + -4 -8a = -12 + -4 Combine like terms: -12 + -4 = -16 -8a = -16 Divide each side by '-8'. a = 2 Simplifying a = 2
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