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Simplifying a + (9 + -4) = (9 + 5) + -1(9 + 1) Combine like terms: 9 + -4 = 5 a + (5) = (9 + 5) + -1(9 + 1) a + 5 = (9 + 5) + -1(9 + 1) Reorder the terms: 5 + a = (9 + 5) + -1(9 + 1) Combine like terms: 9 + 5 = 14 5 + a = (14) + -1(9 + 1) 5 + a = 14 + -1(9 + 1) Combine like terms: 9 + 1 = 10 5 + a = 14 + -1(10) Multiply -1 * 10 5 + a = 14 + -10 Combine like terms: 14 + -10 = 4 5 + a = 4 Solving 5 + a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + a = 4 + -5 Combine like terms: 5 + -5 = 0 0 + a = 4 + -5 a = 4 + -5 Combine like terms: 4 + -5 = -1 a = -1 Simplifying a = -1
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