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Simplifying 46q + -34 = 54q + -82 Reorder the terms: -34 + 46q = 54q + -82 Reorder the terms: -34 + 46q = -82 + 54q Solving -34 + 46q = -82 + 54q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-54q' to each side of the equation. -34 + 46q + -54q = -82 + 54q + -54q Combine like terms: 46q + -54q = -8q -34 + -8q = -82 + 54q + -54q Combine like terms: 54q + -54q = 0 -34 + -8q = -82 + 0 -34 + -8q = -82 Add '34' to each side of the equation. -34 + 34 + -8q = -82 + 34 Combine like terms: -34 + 34 = 0 0 + -8q = -82 + 34 -8q = -82 + 34 Combine like terms: -82 + 34 = -48 -8q = -48 Divide each side by '-8'. q = 6 Simplifying q = 6
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