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Simplifying 2 + -4(a + 1) = 8 + a Reorder the terms: 2 + -4(1 + a) = 8 + a 2 + (1 * -4 + a * -4) = 8 + a 2 + (-4 + -4a) = 8 + a Combine like terms: 2 + -4 = -2 -2 + -4a = 8 + a Solving -2 + -4a = 8 + 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. -2 + -4a + -1a = 8 + a + -1a Combine like terms: -4a + -1a = -5a -2 + -5a = 8 + a + -1a Combine like terms: a + -1a = 0 -2 + -5a = 8 + 0 -2 + -5a = 8 Add '2' to each side of the equation. -2 + 2 + -5a = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5a = 8 + 2 -5a = 8 + 2 Combine like terms: 8 + 2 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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