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Simplifying 11q + -9 = 51q + -89 Reorder the terms: -9 + 11q = 51q + -89 Reorder the terms: -9 + 11q = -89 + 51q Solving -9 + 11q = -89 + 51q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-51q' to each side of the equation. -9 + 11q + -51q = -89 + 51q + -51q Combine like terms: 11q + -51q = -40q -9 + -40q = -89 + 51q + -51q Combine like terms: 51q + -51q = 0 -9 + -40q = -89 + 0 -9 + -40q = -89 Add '9' to each side of the equation. -9 + 9 + -40q = -89 + 9 Combine like terms: -9 + 9 = 0 0 + -40q = -89 + 9 -40q = -89 + 9 Combine like terms: -89 + 9 = -80 -40q = -80 Divide each side by '-40'. q = 2 Simplifying q = 2
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