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Simplifying a + (a + -4) = (a + 5) + -9 + 1 Reorder the terms: a + (-4 + a) = (a + 5) + -9 + 1 Remove parenthesis around (-4 + a) a + -4 + a = (a + 5) + -9 + 1 Reorder the terms: -4 + a + a = (a + 5) + -9 + 1 Combine like terms: a + a = 2a -4 + 2a = (a + 5) + -9 + 1 Reorder the terms: -4 + 2a = (5 + a) + -9 + 1 Remove parenthesis around (5 + a) -4 + 2a = 5 + a + -9 + 1 Reorder the terms: -4 + 2a = 5 + -9 + 1 + a Combine like terms: 5 + -9 = -4 -4 + 2a = -4 + 1 + a Combine like terms: -4 + 1 = -3 -4 + 2a = -3 + a Solving -4 + 2a = -3 + 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. -4 + 2a + -1a = -3 + a + -1a Combine like terms: 2a + -1a = 1a -4 + 1a = -3 + a + -1a Combine like terms: a + -1a = 0 -4 + 1a = -3 + 0 -4 + 1a = -3 Add '4' to each side of the equation. -4 + 4 + 1a = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 1a = -3 + 4 1a = -3 + 4 Combine like terms: -3 + 4 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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