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Simplifying 2 + -1(4a + 1) = 8 + a Reorder the terms: 2 + -1(1 + 4a) = 8 + a 2 + (1 * -1 + 4a * -1) = 8 + a 2 + (-1 + -4a) = 8 + a Combine like terms: 2 + -1 = 1 1 + -4a = 8 + a Solving 1 + -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. 1 + -4a + -1a = 8 + a + -1a Combine like terms: -4a + -1a = -5a 1 + -5a = 8 + a + -1a Combine like terms: a + -1a = 0 1 + -5a = 8 + 0 1 + -5a = 8 Add '-1' to each side of the equation. 1 + -1 + -5a = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -5a = 8 + -1 -5a = 8 + -1 Combine like terms: 8 + -1 = 7 -5a = 7 Divide each side by '-5'. a = -1.4 Simplifying a = -1.4
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