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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 = a + 5 + -1(1 + a) -4 + 2a = a + 5 + (1 * -1 + a * -1) -4 + 2a = a + 5 + (-1 + -1a) Reorder the terms: -4 + 2a = 5 + -1 + a + -1a Combine like terms: 5 + -1 = 4 -4 + 2a = 4 + a + -1a Combine like terms: a + -1a = 0 -4 + 2a = 4 + 0 -4 + 2a = 4 Solving -4 + 2a = 4 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 = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 4 + 4 2a = 4 + 4 Combine like terms: 4 + 4 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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