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