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Simplifying 4q + -75 = q + 6 Reorder the terms: -75 + 4q = q + 6 Reorder the terms: -75 + 4q = 6 + q Solving -75 + 4q = 6 + 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. -75 + 4q + -1q = 6 + q + -1q Combine like terms: 4q + -1q = 3q -75 + 3q = 6 + q + -1q Combine like terms: q + -1q = 0 -75 + 3q = 6 + 0 -75 + 3q = 6 Add '75' to each side of the equation. -75 + 75 + 3q = 6 + 75 Combine like terms: -75 + 75 = 0 0 + 3q = 6 + 75 3q = 6 + 75 Combine like terms: 6 + 75 = 81 3q = 81 Divide each side by '3'. q = 27 Simplifying q = 27
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