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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) Reorder the terms: -4 + A + a = (-5 + A) + -1(A + 1) Remove parenthesis around (-5 + A) -4 + A + a = -5 + A + -1(A + 1) Reorder the terms: -4 + A + a = -5 + A + -1(1 + A) -4 + A + a = -5 + A + (1 * -1 + A * -1) -4 + A + a = -5 + A + (-1 + -1A) Reorder the terms: -4 + A + a = -5 + -1 + A + -1A Combine like terms: -5 + -1 = -6 -4 + A + a = -6 + A + -1A Combine like terms: A + -1A = 0 -4 + A + a = -6 + 0 -4 + A + a = -6 Solving -4 + A + a = -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 + A + 4 + a = -6 + 4 Reorder the terms: -4 + 4 + A + a = -6 + 4 Combine like terms: -4 + 4 = 0 0 + A + a = -6 + 4 A + a = -6 + 4 Combine like terms: -6 + 4 = -2 A + a = -2 Add '-1a' to each side of the equation. A + a + -1a = -2 + -1a Combine like terms: a + -1a = 0 A + 0 = -2 + -1a A = -2 + -1a Simplifying A = -2 + -1a
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