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Simplifying 7A + -3[2(2A + -5) + -1(3A + 4) + 1] = 0 Reorder the terms: 7A + -3[2(-5 + 2A) + -1(3A + 4) + 1] = 0 7A + -3[(-5 * 2 + 2A * 2) + -1(3A + 4) + 1] = 0 7A + -3[(-10 + 4A) + -1(3A + 4) + 1] = 0 Reorder the terms: 7A + -3[-10 + 4A + -1(4 + 3A) + 1] = 0 7A + -3[-10 + 4A + (4 * -1 + 3A * -1) + 1] = 0 7A + -3[-10 + 4A + (-4 + -3A) + 1] = 0 Reorder the terms: 7A + -3[-10 + -4 + 1 + 4A + -3A] = 0 Combine like terms: -10 + -4 = -14 7A + -3[-14 + 1 + 4A + -3A] = 0 Combine like terms: -14 + 1 = -13 7A + -3[-13 + 4A + -3A] = 0 Combine like terms: 4A + -3A = 1A 7A + -3[-13 + 1A] = 0 7A + [-13 * -3 + 1A * -3] = 0 7A + [39 + -3A] = 0 Reorder the terms: 39 + 7A + -3A = 0 Combine like terms: 7A + -3A = 4A 39 + 4A = 0 Solving 39 + 4A = 0 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 4A = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 4A = 0 + -39 4A = 0 + -39 Combine like terms: 0 + -39 = -39 4A = -39 Divide each side by '4'. A = -9.75 Simplifying A = -9.75
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