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Simplifying 2 + -5(a + 1) = 9 + a Reorder the terms: 2 + -5(1 + a) = 9 + a 2 + (1 * -5 + a * -5) = 9 + a 2 + (-5 + -5a) = 9 + a Combine like terms: 2 + -5 = -3 -3 + -5a = 9 + a Solving -3 + -5a = 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. -3 + -5a + -1a = 9 + a + -1a Combine like terms: -5a + -1a = -6a -3 + -6a = 9 + a + -1a Combine like terms: a + -1a = 0 -3 + -6a = 9 + 0 -3 + -6a = 9 Add '3' to each side of the equation. -3 + 3 + -6a = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -6a = 9 + 3 -6a = 9 + 3 Combine like terms: 9 + 3 = 12 -6a = 12 Divide each side by '-6'. a = -2 Simplifying a = -2
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