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Simplifying 54 + q + 24 = 3q + 18 + 20 Reorder the terms: 54 + 24 + q = 3q + 18 + 20 Combine like terms: 54 + 24 = 78 78 + q = 3q + 18 + 20 Reorder the terms: 78 + q = 18 + 20 + 3q Combine like terms: 18 + 20 = 38 78 + q = 38 + 3q Solving 78 + q = 38 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 78 + q + -3q = 38 + 3q + -3q Combine like terms: q + -3q = -2q 78 + -2q = 38 + 3q + -3q Combine like terms: 3q + -3q = 0 78 + -2q = 38 + 0 78 + -2q = 38 Add '-78' to each side of the equation. 78 + -78 + -2q = 38 + -78 Combine like terms: 78 + -78 = 0 0 + -2q = 38 + -78 -2q = 38 + -78 Combine like terms: 38 + -78 = -40 -2q = -40 Divide each side by '-2'. q = 20 Simplifying q = 20
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