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Simplifying A + 1 + -4a = -7 + 5a + -6 + -1a Reorder the terms: 1 + A + -4a = -7 + 5a + -6 + -1a Reorder the terms: 1 + A + -4a = -7 + -6 + 5a + -1a Combine like terms: -7 + -6 = -13 1 + A + -4a = -13 + 5a + -1a Combine like terms: 5a + -1a = 4a 1 + A + -4a = -13 + 4a Solving 1 + A + -4a = -13 + 4a Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + A + -1 + -4a = -13 + -1 + 4a Reorder the terms: 1 + -1 + A + -4a = -13 + -1 + 4a Combine like terms: 1 + -1 = 0 0 + A + -4a = -13 + -1 + 4a A + -4a = -13 + -1 + 4a Combine like terms: -13 + -1 = -14 A + -4a = -14 + 4a Add '4a' to each side of the equation. A + -4a + 4a = -14 + 4a + 4a Combine like terms: -4a + 4a = 0 A + 0 = -14 + 4a + 4a A = -14 + 4a + 4a Combine like terms: 4a + 4a = 8a A = -14 + 8a Simplifying A = -14 + 8a
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