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Simplifying 5A + -4 = 6 + -1[2(3A + -5) + 23] Reorder the terms: -4 + 5A = 6 + -1[2(3A + -5) + 23] Reorder the terms: -4 + 5A = 6 + -1[2(-5 + 3A) + 23] -4 + 5A = 6 + -1[(-5 * 2 + 3A * 2) + 23] -4 + 5A = 6 + -1[(-10 + 6A) + 23] Reorder the terms: -4 + 5A = 6 + -1[-10 + 23 + 6A] Combine like terms: -10 + 23 = 13 -4 + 5A = 6 + -1[13 + 6A] -4 + 5A = 6 + [13 * -1 + 6A * -1] -4 + 5A = 6 + [-13 + -6A] Combine like terms: 6 + -13 = -7 -4 + 5A = -7 + -6A Solving -4 + 5A = -7 + -6A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '6A' to each side of the equation. -4 + 5A + 6A = -7 + -6A + 6A Combine like terms: 5A + 6A = 11A -4 + 11A = -7 + -6A + 6A Combine like terms: -6A + 6A = 0 -4 + 11A = -7 + 0 -4 + 11A = -7 Add '4' to each side of the equation. -4 + 4 + 11A = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 11A = -7 + 4 11A = -7 + 4 Combine like terms: -7 + 4 = -3 11A = -3 Divide each side by '11'. A = -0.2727272727 Simplifying A = -0.2727272727
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