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Simplifying 3q + 74 = 4q + 22 Reorder the terms: 74 + 3q = 4q + 22 Reorder the terms: 74 + 3q = 22 + 4q Solving 74 + 3q = 22 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 74 + 3q + -4q = 22 + 4q + -4q Combine like terms: 3q + -4q = -1q 74 + -1q = 22 + 4q + -4q Combine like terms: 4q + -4q = 0 74 + -1q = 22 + 0 74 + -1q = 22 Add '-74' to each side of the equation. 74 + -74 + -1q = 22 + -74 Combine like terms: 74 + -74 = 0 0 + -1q = 22 + -74 -1q = 22 + -74 Combine like terms: 22 + -74 = -52 -1q = -52 Divide each side by '-1'. q = 52 Simplifying q = 52
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