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Simplifying a + by + c + -1d = 8 Solving a + by + c + -1d = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1by' to each side of the equation. a + by + c + -1by + -1d = 8 + -1by Reorder the terms: a + by + -1by + c + -1d = 8 + -1by Combine like terms: by + -1by = 0 a + 0 + c + -1d = 8 + -1by a + c + -1d = 8 + -1by Add '-1c' to each side of the equation. a + c + -1c + -1d = 8 + -1by + -1c Combine like terms: c + -1c = 0 a + 0 + -1d = 8 + -1by + -1c a + -1d = 8 + -1by + -1c Add 'd' to each side of the equation. a + -1d + d = 8 + -1by + -1c + d Combine like terms: -1d + d = 0 a + 0 = 8 + -1by + -1c + d a = 8 + -1by + -1c + d Simplifying a = 8 + -1by + -1c + d
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