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Simplifying -8 + -2(a + 1) = 9 + a Reorder the terms: -8 + -2(1 + a) = 9 + a -8 + (1 * -2 + a * -2) = 9 + a -8 + (-2 + -2a) = 9 + a Combine like terms: -8 + -2 = -10 -10 + -2a = 9 + a Solving -10 + -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. -10 + -2a + -1a = 9 + a + -1a Combine like terms: -2a + -1a = -3a -10 + -3a = 9 + a + -1a Combine like terms: a + -1a = 0 -10 + -3a = 9 + 0 -10 + -3a = 9 Add '10' to each side of the equation. -10 + 10 + -3a = 9 + 10 Combine like terms: -10 + 10 = 0 0 + -3a = 9 + 10 -3a = 9 + 10 Combine like terms: 9 + 10 = 19 -3a = 19 Divide each side by '-3'. a = -6.333333333 Simplifying a = -6.333333333
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