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Simplifying ax + bx + -1by = do + 5d Reorder the terms: ax + bx + -1by = 5d + do Solving ax + bx + -1by = 5d + do Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bx' to each side of the equation. ax + bx + -1bx + -1by = 5d + -1bx + do Combine like terms: bx + -1bx = 0 ax + 0 + -1by = 5d + -1bx + do ax + -1by = 5d + -1bx + do Reorder the terms: ax + -1by = -1bx + 5d + do Add 'by' to each side of the equation. ax + -1by + by = -1bx + 5d + by + do Combine like terms: -1by + by = 0 ax + 0 = -1bx + 5d + by + do ax = -1bx + 5d + by + do Reorder the terms: ax = -1bx + by + 5d + do Divide each side by 'x'. a = -1b + bx-1y + 5dx-1 + dox-1 Simplifying a = -1b + bx-1y + 5dx-1 + dox-1 Reorder the terms: a = -1b + bx-1y + dox-1 + 5dx-1
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