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Simplifying [ax + b] + -1c = d Remove brackets around [ax + b] ax + b + -1c = d Solving ax + b + -1c = d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. ax + b + -1b + -1c = -1b + d Combine like terms: b + -1b = 0 ax + 0 + -1c = -1b + d ax + -1c = -1b + d Add 'c' to each side of the equation. ax + -1c + c = -1b + c + d Combine like terms: -1c + c = 0 ax + 0 = -1b + c + d ax = -1b + c + d Divide each side by 'x'. a = -1bx-1 + cx-1 + dx-1 Simplifying a = -1bx-1 + cx-1 + dx-1
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