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Simplifying A + -1(8 + -3a) = 2(x + 8) A + (8 * -1 + -3a * -1) = 2(x + 8) A + (-8 + 3a) = 2(x + 8) Reorder the terms: -8 + A + 3a = 2(x + 8) Reorder the terms: -8 + A + 3a = 2(8 + x) -8 + A + 3a = (8 * 2 + x * 2) -8 + A + 3a = (16 + 2x) Solving -8 + A + 3a = 16 + 2x Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '8' to each side of the equation. -8 + A + 8 + 3a = 16 + 8 + 2x Reorder the terms: -8 + 8 + A + 3a = 16 + 8 + 2x Combine like terms: -8 + 8 = 0 0 + A + 3a = 16 + 8 + 2x A + 3a = 16 + 8 + 2x Combine like terms: 16 + 8 = 24 A + 3a = 24 + 2x Add '-3a' to each side of the equation. A + 3a + -3a = 24 + -3a + 2x Combine like terms: 3a + -3a = 0 A + 0 = 24 + -3a + 2x A = 24 + -3a + 2x Simplifying A = 24 + -3a + 2x
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