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Simplifying 1189 = ax + by + z Solving 1189 = ax + by + z Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1ax' to each side of the equation. 1189 + -1ax = ax + by + -1ax + z Reorder the terms: 1189 + -1ax = ax + -1ax + by + z Combine like terms: ax + -1ax = 0 1189 + -1ax = 0 + by + z 1189 + -1ax = by + z Add '-1189' to each side of the equation. 1189 + -1189 + -1ax = by + -1189 + z Combine like terms: 1189 + -1189 = 0 0 + -1ax = by + -1189 + z -1ax = by + -1189 + z Reorder the terms: -1ax = -1189 + by + z Divide each side by '-1x'. a = 1189x-1 + -1bx-1y + -1x-1z Simplifying a = 1189x-1 + -1bx-1y + -1x-1z Reorder the terms: a = -1bx-1y + 1189x-1 + -1x-1z
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