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Simplifying 38q + 44 = 58q + -76 Reorder the terms: 44 + 38q = 58q + -76 Reorder the terms: 44 + 38q = -76 + 58q Solving 44 + 38q = -76 + 58q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-58q' to each side of the equation. 44 + 38q + -58q = -76 + 58q + -58q Combine like terms: 38q + -58q = -20q 44 + -20q = -76 + 58q + -58q Combine like terms: 58q + -58q = 0 44 + -20q = -76 + 0 44 + -20q = -76 Add '-44' to each side of the equation. 44 + -44 + -20q = -76 + -44 Combine like terms: 44 + -44 = 0 0 + -20q = -76 + -44 -20q = -76 + -44 Combine like terms: -76 + -44 = -120 -20q = -120 Divide each side by '-20'. q = 6 Simplifying q = 6
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