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Simplifying 9a + 8b + 7c + 6d + 5e + 4f + 3g + 2h + 1i = 121 Solving 9a + 8b + 7c + 6d + 5e + 4f + 3g + 2h + 1i = 121 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 9a + 8b + 7c + 6d + 5e + 4f + 3g + 2h + -8b + 1i = 121 + -8b Reorder the terms: 9a + 8b + -8b + 7c + 6d + 5e + 4f + 3g + 2h + 1i = 121 + -8b Combine like terms: 8b + -8b = 0 9a + 0 + 7c + 6d + 5e + 4f + 3g + 2h + 1i = 121 + -8b 9a + 7c + 6d + 5e + 4f + 3g + 2h + 1i = 121 + -8b Add '-7c' to each side of the equation. 9a + 7c + 6d + 5e + 4f + 3g + 2h + -7c + 1i = 121 + -8b + -7c Reorder the terms: 9a + 7c + -7c + 6d + 5e + 4f + 3g + 2h + 1i = 121 + -8b + -7c Combine like terms: 7c + -7c = 0 9a + 0 + 6d + 5e + 4f + 3g + 2h + 1i = 121 + -8b + -7c 9a + 6d + 5e + 4f + 3g + 2h + 1i = 121 + -8b + -7c Add '-6d' to each side of the equation. 9a + 6d + 5e + 4f + 3g + 2h + -6d + 1i = 121 + -8b + -7c + -6d Reorder the terms: 9a + 6d + -6d + 5e + 4f + 3g + 2h + 1i = 121 + -8b + -7c + -6d Combine like terms: 6d + -6d = 0 9a + 0 + 5e + 4f + 3g + 2h + 1i = 121 + -8b + -7c + -6d 9a + 5e + 4f + 3g + 2h + 1i = 121 + -8b + -7c + -6d Add '-5e' to each side of the equation. 9a + 5e + 4f + 3g + 2h + -5e + 1i = 121 + -8b + -7c + -6d + -5e Reorder the terms: 9a + 5e + -5e + 4f + 3g + 2h + 1i = 121 + -8b + -7c + -6d + -5e Combine like terms: 5e + -5e = 0 9a + 0 + 4f + 3g + 2h + 1i = 121 + -8b + -7c + -6d + -5e 9a + 4f + 3g + 2h + 1i = 121 + -8b + -7c + -6d + -5e Add '-4f' to each side of the equation. 9a + 4f + 3g + 2h + -4f + 1i = 121 + -8b + -7c + -6d + -5e + -4f Reorder the terms: 9a + 4f + -4f + 3g + 2h + 1i = 121 + -8b + -7c + -6d + -5e + -4f Combine like terms: 4f + -4f = 0 9a + 0 + 3g + 2h + 1i = 121 + -8b + -7c + -6d + -5e + -4f 9a + 3g + 2h + 1i = 121 + -8b + -7c + -6d + -5e + -4f Add '-3g' to each side of the equation. 9a + 3g + 2h + -3g + 1i = 121 + -8b + -7c + -6d + -5e + -4f + -3g Reorder the terms: 9a + 3g + -3g + 2h + 1i = 121 + -8b + -7c + -6d + -5e + -4f + -3g Combine like terms: 3g + -3g = 0 9a + 0 + 2h + 1i = 121 + -8b + -7c + -6d + -5e + -4f + -3g 9a + 2h + 1i = 121 + -8b + -7c + -6d + -5e + -4f + -3g Add '-2h' to each side of the equation. 9a + 2h + -2h + 1i = 121 + -8b + -7c + -6d + -5e + -4f + -3g + -2h Combine like terms: 2h + -2h = 0 9a + 0 + 1i = 121 + -8b + -7c + -6d + -5e + -4f + -3g + -2h 9a + 1i = 121 + -8b + -7c + -6d + -5e + -4f + -3g + -2h Add '-1i' to each side of the equation. 9a + 1i + -1i = 121 + -8b + -7c + -6d + -5e + -4f + -3g + -2h + -1i Combine like terms: 1i + -1i = 0 9a + 0 = 121 + -8b + -7c + -6d + -5e + -4f + -3g + -2h + -1i 9a = 121 + -8b + -7c + -6d + -5e + -4f + -3g + -2h + -1i Divide each side by '9'. a = 13.44444444 + -0.8888888889b + -0.7777777778c + -0.6666666667d + -0.5555555556e + -0.4444444444f + -0.3333333333g + -0.2222222222h + -0.1111111111i Simplifying a = 13.44444444 + -0.8888888889b + -0.7777777778c + -0.6666666667d + -0.5555555556e + -0.4444444444f + -0.3333333333g + -0.2222222222h + -0.1111111111i
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