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Simplifying 4q + -39 = q + 75 Reorder the terms: -39 + 4q = q + 75 Reorder the terms: -39 + 4q = 75 + q Solving -39 + 4q = 75 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -39 + 4q + -1q = 75 + q + -1q Combine like terms: 4q + -1q = 3q -39 + 3q = 75 + q + -1q Combine like terms: q + -1q = 0 -39 + 3q = 75 + 0 -39 + 3q = 75 Add '39' to each side of the equation. -39 + 39 + 3q = 75 + 39 Combine like terms: -39 + 39 = 0 0 + 3q = 75 + 39 3q = 75 + 39 Combine like terms: 75 + 39 = 114 3q = 114 Divide each side by '3'. q = 38 Simplifying q = 38
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