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Simplifying 8 + -4(a + 1) = a + 9 Reorder the terms: 8 + -4(1 + a) = a + 9 8 + (1 * -4 + a * -4) = a + 9 8 + (-4 + -4a) = a + 9 Combine like terms: 8 + -4 = 4 4 + -4a = a + 9 Reorder the terms: 4 + -4a = 9 + a Solving 4 + -4a = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 4 + -4a + -1a = 9 + a + -1a Combine like terms: -4a + -1a = -5a 4 + -5a = 9 + a + -1a Combine like terms: a + -1a = 0 4 + -5a = 9 + 0 4 + -5a = 9 Add '-4' to each side of the equation. 4 + -4 + -5a = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -5a = 9 + -4 -5a = 9 + -4 Combine like terms: 9 + -4 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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