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Simplifying ay + -1d + b = 3d + 9b + -3ay Reorder the terms: ay + b + -1d = 3d + 9b + -3ay Reorder the terms: ay + b + -1d = -3ay + 9b + 3d Solving ay + b + -1d = -3ay + 9b + 3d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3ay' to each side of the equation. ay + b + 3ay + -1d = -3ay + 9b + 3ay + 3d Reorder the terms: ay + 3ay + b + -1d = -3ay + 9b + 3ay + 3d Combine like terms: ay + 3ay = 4ay 4ay + b + -1d = -3ay + 9b + 3ay + 3d Reorder the terms: 4ay + b + -1d = -3ay + 3ay + 9b + 3d Combine like terms: -3ay + 3ay = 0 4ay + b + -1d = 0 + 9b + 3d 4ay + b + -1d = 9b + 3d Add '-1b' to each side of the equation. 4ay + b + -1b + -1d = 9b + -1b + 3d Combine like terms: b + -1b = 0 4ay + 0 + -1d = 9b + -1b + 3d 4ay + -1d = 9b + -1b + 3d Combine like terms: 9b + -1b = 8b 4ay + -1d = 8b + 3d Add 'd' to each side of the equation. 4ay + -1d + d = 8b + 3d + d Combine like terms: -1d + d = 0 4ay + 0 = 8b + 3d + d 4ay = 8b + 3d + d Combine like terms: 3d + d = 4d 4ay = 8b + 4d Divide each side by '4y'. a = 2by-1 + dy-1 Simplifying a = 2by-1 + dy-1
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