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Simplifying 1 + -4(a + -2) = 8 + a Reorder the terms: 1 + -4(-2 + a) = 8 + a 1 + (-2 * -4 + a * -4) = 8 + a 1 + (8 + -4a) = 8 + a Combine like terms: 1 + 8 = 9 9 + -4a = 8 + a Solving 9 + -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. 9 + -4a + -1a = 8 + a + -1a Combine like terms: -4a + -1a = -5a 9 + -5a = 8 + a + -1a Combine like terms: a + -1a = 0 9 + -5a = 8 + 0 9 + -5a = 8 Add '-9' to each side of the equation. 9 + -9 + -5a = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -5a = 8 + -9 -5a = 8 + -9 Combine like terms: 8 + -9 = -1 -5a = -1 Divide each side by '-5'. a = 0.2 Simplifying a = 0.2
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