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Simplifying A + 4 + 6 = 2(a + 3) + -1(a + -7) Reorder the terms: 4 + 6 + A = 2(a + 3) + -1(a + -7) Combine like terms: 4 + 6 = 10 10 + A = 2(a + 3) + -1(a + -7) Reorder the terms: 10 + A = 2(3 + a) + -1(a + -7) 10 + A = (3 * 2 + a * 2) + -1(a + -7) 10 + A = (6 + 2a) + -1(a + -7) Reorder the terms: 10 + A = 6 + 2a + -1(-7 + a) 10 + A = 6 + 2a + (-7 * -1 + a * -1) 10 + A = 6 + 2a + (7 + -1a) Reorder the terms: 10 + A = 6 + 7 + 2a + -1a Combine like terms: 6 + 7 = 13 10 + A = 13 + 2a + -1a Combine like terms: 2a + -1a = 1a 10 + A = 13 + 1a Solving 10 + A = 13 + 1a Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + A = 13 + -10 + 1a Combine like terms: 10 + -10 = 0 0 + A = 13 + -10 + 1a A = 13 + -10 + 1a Combine like terms: 13 + -10 = 3 A = 3 + 1a Simplifying A = 3 + 1a
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