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Simplifying a + -1[b + -1[c + -1(d + -1e) + -1f] + -1g] = 0 a + -1[b + -1[c + (d * -1 + -1e * -1) + -1f] + -1g] = 0 a + -1[b + -1[c + (-1d + 1e) + -1f] + -1g] = 0 a + -1[b + [c * -1 + -1d * -1 + 1e * -1 + -1f * -1] + -1g] = 0 a + -1[b + [-1c + 1d + -1e + 1f] + -1g] = 0 a + [b * -1 + -1c * -1 + 1d * -1 + -1e * -1 + 1f * -1 + -1g * -1] = 0 a + [-1b + 1c + -1d + 1e + -1f + 1g] = 0 Solving a + -1b + 1c + -1d + 1e + -1f + 1g = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + 1c + -1d + 1e + -1f + b + 1g = 0 + b Reorder the terms: a + -1b + b + 1c + -1d + 1e + -1f + 1g = 0 + b Combine like terms: -1b + b = 0 a + 0 + 1c + -1d + 1e + -1f + 1g = 0 + b a + 1c + -1d + 1e + -1f + 1g = 0 + b Remove the zero: a + 1c + -1d + 1e + -1f + 1g = b Add '-1c' to each side of the equation. a + 1c + -1d + 1e + -1f + -1c + 1g = b + -1c Reorder the terms: a + 1c + -1c + -1d + 1e + -1f + 1g = b + -1c Combine like terms: 1c + -1c = 0 a + 0 + -1d + 1e + -1f + 1g = b + -1c a + -1d + 1e + -1f + 1g = b + -1c Add 'd' to each side of the equation. a + -1d + 1e + -1f + d + 1g = b + -1c + d Reorder the terms: a + -1d + d + 1e + -1f + 1g = b + -1c + d Combine like terms: -1d + d = 0 a + 0 + 1e + -1f + 1g = b + -1c + d a + 1e + -1f + 1g = b + -1c + d Add '-1e' to each side of the equation. a + 1e + -1f + -1e + 1g = b + -1c + d + -1e Reorder the terms: a + 1e + -1e + -1f + 1g = b + -1c + d + -1e Combine like terms: 1e + -1e = 0 a + 0 + -1f + 1g = b + -1c + d + -1e a + -1f + 1g = b + -1c + d + -1e Add 'f' to each side of the equation. a + -1f + f + 1g = b + -1c + d + -1e + f Combine like terms: -1f + f = 0 a + 0 + 1g = b + -1c + d + -1e + f a + 1g = b + -1c + d + -1e + f Add '-1g' to each side of the equation. a + 1g + -1g = b + -1c + d + -1e + f + -1g Combine like terms: 1g + -1g = 0 a + 0 = b + -1c + d + -1e + f + -1g a = b + -1c + d + -1e + f + -1g Simplifying a = b + -1c + d + -1e + f + -1g
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