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Simplifying a + 2b + 3c + 4d + 5e + 6f + 7g + 8h + 9i = 10j Solving a + 2b + 3c + 4d + 5e + 6f + 7g + 8h + 9i = 10j Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. a + 2b + 3c + 4d + 5e + 6f + 7g + 8h + -2b + 9i = -2b + 10j Reorder the terms: a + 2b + -2b + 3c + 4d + 5e + 6f + 7g + 8h + 9i = -2b + 10j Combine like terms: 2b + -2b = 0 a + 0 + 3c + 4d + 5e + 6f + 7g + 8h + 9i = -2b + 10j a + 3c + 4d + 5e + 6f + 7g + 8h + 9i = -2b + 10j Add '-3c' to each side of the equation. a + 3c + 4d + 5e + 6f + 7g + 8h + -3c + 9i = -2b + -3c + 10j Reorder the terms: a + 3c + -3c + 4d + 5e + 6f + 7g + 8h + 9i = -2b + -3c + 10j Combine like terms: 3c + -3c = 0 a + 0 + 4d + 5e + 6f + 7g + 8h + 9i = -2b + -3c + 10j a + 4d + 5e + 6f + 7g + 8h + 9i = -2b + -3c + 10j Add '-4d' to each side of the equation. a + 4d + 5e + 6f + 7g + 8h + -4d + 9i = -2b + -3c + -4d + 10j Reorder the terms: a + 4d + -4d + 5e + 6f + 7g + 8h + 9i = -2b + -3c + -4d + 10j Combine like terms: 4d + -4d = 0 a + 0 + 5e + 6f + 7g + 8h + 9i = -2b + -3c + -4d + 10j a + 5e + 6f + 7g + 8h + 9i = -2b + -3c + -4d + 10j Add '-5e' to each side of the equation. a + 5e + 6f + 7g + 8h + -5e + 9i = -2b + -3c + -4d + -5e + 10j Reorder the terms: a + 5e + -5e + 6f + 7g + 8h + 9i = -2b + -3c + -4d + -5e + 10j Combine like terms: 5e + -5e = 0 a + 0 + 6f + 7g + 8h + 9i = -2b + -3c + -4d + -5e + 10j a + 6f + 7g + 8h + 9i = -2b + -3c + -4d + -5e + 10j Add '-6f' to each side of the equation. a + 6f + 7g + 8h + -6f + 9i = -2b + -3c + -4d + -5e + -6f + 10j Reorder the terms: a + 6f + -6f + 7g + 8h + 9i = -2b + -3c + -4d + -5e + -6f + 10j Combine like terms: 6f + -6f = 0 a + 0 + 7g + 8h + 9i = -2b + -3c + -4d + -5e + -6f + 10j a + 7g + 8h + 9i = -2b + -3c + -4d + -5e + -6f + 10j Add '-7g' to each side of the equation. a + 7g + 8h + -7g + 9i = -2b + -3c + -4d + -5e + -6f + -7g + 10j Reorder the terms: a + 7g + -7g + 8h + 9i = -2b + -3c + -4d + -5e + -6f + -7g + 10j Combine like terms: 7g + -7g = 0 a + 0 + 8h + 9i = -2b + -3c + -4d + -5e + -6f + -7g + 10j a + 8h + 9i = -2b + -3c + -4d + -5e + -6f + -7g + 10j Add '-8h' to each side of the equation. a + 8h + -8h + 9i = -2b + -3c + -4d + -5e + -6f + -7g + -8h + 10j Combine like terms: 8h + -8h = 0 a + 0 + 9i = -2b + -3c + -4d + -5e + -6f + -7g + -8h + 10j a + 9i = -2b + -3c + -4d + -5e + -6f + -7g + -8h + 10j Add '-9i' to each side of the equation. a + 9i + -9i = -2b + -3c + -4d + -5e + -6f + -7g + -8h + -9i + 10j Combine like terms: 9i + -9i = 0 a + 0 = -2b + -3c + -4d + -5e + -6f + -7g + -8h + -9i + 10j a = -2b + -3c + -4d + -5e + -6f + -7g + -8h + -9i + 10j Simplifying a = -2b + -3c + -4d + -5e + -6f + -7g + -8h + -9i + 10j
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