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Simplifying A + -4(2a + -7) = 3(A + 6) Reorder the terms: A + -4(-7 + 2a) = 3(A + 6) A + (-7 * -4 + 2a * -4) = 3(A + 6) A + (28 + -8a) = 3(A + 6) Reorder the terms: 28 + A + -8a = 3(A + 6) Reorder the terms: 28 + A + -8a = 3(6 + A) 28 + A + -8a = (6 * 3 + A * 3) 28 + A + -8a = (18 + 3A) Solving 28 + A + -8a = 18 + 3A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-3A' to each side of the equation. 28 + A + -3A + -8a = 18 + 3A + -3A Combine like terms: A + -3A = -2A 28 + -2A + -8a = 18 + 3A + -3A Combine like terms: 3A + -3A = 0 28 + -2A + -8a = 18 + 0 28 + -2A + -8a = 18 Add '-28' to each side of the equation. 28 + -2A + -28 + -8a = 18 + -28 Reorder the terms: 28 + -28 + -2A + -8a = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -2A + -8a = 18 + -28 -2A + -8a = 18 + -28 Combine like terms: 18 + -28 = -10 -2A + -8a = -10 Add '8a' to each side of the equation. -2A + -8a + 8a = -10 + 8a Combine like terms: -8a + 8a = 0 -2A + 0 = -10 + 8a -2A = -10 + 8a Divide each side by '-2'. A = 5 + -4a Simplifying A = 5 + -4a
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