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Simplifying a + (a + 4) = (a + 5) + -1(a + -1) Reorder the terms: a + (4 + a) = (a + 5) + -1(a + -1) Remove parenthesis around (4 + a) a + 4 + a = (a + 5) + -1(a + -1) Reorder the terms: 4 + a + a = (a + 5) + -1(a + -1) Combine like terms: a + a = 2a 4 + 2a = (a + 5) + -1(a + -1) Reorder the terms: 4 + 2a = (5 + a) + -1(a + -1) Remove parenthesis around (5 + a) 4 + 2a = 5 + a + -1(a + -1) Reorder the terms: 4 + 2a = 5 + a + -1(-1 + a) 4 + 2a = 5 + a + (-1 * -1 + a * -1) 4 + 2a = 5 + a + (1 + -1a) Reorder the terms: 4 + 2a = 5 + 1 + a + -1a Combine like terms: 5 + 1 = 6 4 + 2a = 6 + a + -1a Combine like terms: a + -1a = 0 4 + 2a = 6 + 0 4 + 2a = 6 Solving 4 + 2a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2a = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 2a = 6 + -4 2a = 6 + -4 Combine like terms: 6 + -4 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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