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Simplifying 4q + 91 = 17q + 78 Reorder the terms: 91 + 4q = 17q + 78 Reorder the terms: 91 + 4q = 78 + 17q Solving 91 + 4q = 78 + 17q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-17q' to each side of the equation. 91 + 4q + -17q = 78 + 17q + -17q Combine like terms: 4q + -17q = -13q 91 + -13q = 78 + 17q + -17q Combine like terms: 17q + -17q = 0 91 + -13q = 78 + 0 91 + -13q = 78 Add '-91' to each side of the equation. 91 + -91 + -13q = 78 + -91 Combine like terms: 91 + -91 = 0 0 + -13q = 78 + -91 -13q = 78 + -91 Combine like terms: 78 + -91 = -13 -13q = -13 Divide each side by '-13'. q = 1 Simplifying q = 1
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