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Simplifying 46q + -16 = 59q + -81 Reorder the terms: -16 + 46q = 59q + -81 Reorder the terms: -16 + 46q = -81 + 59q Solving -16 + 46q = -81 + 59q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-59q' to each side of the equation. -16 + 46q + -59q = -81 + 59q + -59q Combine like terms: 46q + -59q = -13q -16 + -13q = -81 + 59q + -59q Combine like terms: 59q + -59q = 0 -16 + -13q = -81 + 0 -16 + -13q = -81 Add '16' to each side of the equation. -16 + 16 + -13q = -81 + 16 Combine like terms: -16 + 16 = 0 0 + -13q = -81 + 16 -13q = -81 + 16 Combine like terms: -81 + 16 = -65 -13q = -65 Divide each side by '-13'. q = 5 Simplifying q = 5
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