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Simplifying ab + bc + vy + z = opq + z Add '-1z' to each side of the equation. ab + bc + vy + z + -1z = opq + z + -1z Combine like terms: z + -1z = 0 ab + bc + vy + 0 = opq + z + -1z ab + bc + vy = opq + z + -1z Combine like terms: z + -1z = 0 ab + bc + vy = opq + 0 ab + bc + vy = opq Solving ab + bc + vy = opq Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bc' to each side of the equation. ab + bc + -1bc + vy = -1bc + opq Combine like terms: bc + -1bc = 0 ab + 0 + vy = -1bc + opq ab + vy = -1bc + opq Add '-1vy' to each side of the equation. ab + vy + -1vy = -1bc + opq + -1vy Combine like terms: vy + -1vy = 0 ab + 0 = -1bc + opq + -1vy ab = -1bc + opq + -1vy Divide each side by 'b'. a = -1c + b-1opq + -1b-1vy Simplifying a = -1c + b-1opq + -1b-1vy Reorder the terms: a = b-1opq + -1b-1vy + -1c
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