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