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Simplifying 8 + -1(2a + 1) = 9 + a Reorder the terms: 8 + -1(1 + 2a) = 9 + a 8 + (1 * -1 + 2a * -1) = 9 + a 8 + (-1 + -2a) = 9 + a Combine like terms: 8 + -1 = 7 7 + -2a = 9 + a Solving 7 + -2a = 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. 7 + -2a + -1a = 9 + a + -1a Combine like terms: -2a + -1a = -3a 7 + -3a = 9 + a + -1a Combine like terms: a + -1a = 0 7 + -3a = 9 + 0 7 + -3a = 9 Add '-7' to each side of the equation. 7 + -7 + -3a = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = 9 + -7 -3a = 9 + -7 Combine like terms: 9 + -7 = 2 -3a = 2 Divide each side by '-3'. a = -0.6666666667 Simplifying a = -0.6666666667
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