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Simplifying A + -2(7 + -2d) + -2(16 + -4d) + -1d = -5 A + (7 * -2 + -2d * -2) + -2(16 + -4d) + -1d = -5 A + (-14 + 4d) + -2(16 + -4d) + -1d = -5 A + -14 + 4d + (16 * -2 + -4d * -2) + -1d = -5 A + -14 + 4d + (-32 + 8d) + -1d = -5 Reorder the terms: -14 + -32 + A + 4d + 8d + -1d = -5 Combine like terms: -14 + -32 = -46 -46 + A + 4d + 8d + -1d = -5 Combine like terms: 4d + 8d = 12d -46 + A + 12d + -1d = -5 Combine like terms: 12d + -1d = 11d -46 + A + 11d = -5 Solving -46 + A + 11d = -5 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '46' to each side of the equation. -46 + A + 46 + 11d = -5 + 46 Reorder the terms: -46 + 46 + A + 11d = -5 + 46 Combine like terms: -46 + 46 = 0 0 + A + 11d = -5 + 46 A + 11d = -5 + 46 Combine like terms: -5 + 46 = 41 A + 11d = 41 Add '-11d' to each side of the equation. A + 11d + -11d = 41 + -11d Combine like terms: 11d + -11d = 0 A + 0 = 41 + -11d A = 41 + -11d Simplifying A = 41 + -11d
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