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Simplifying 34 + q + 36 = 22q + 49 Reorder the terms: 34 + 36 + q = 22q + 49 Combine like terms: 34 + 36 = 70 70 + q = 22q + 49 Reorder the terms: 70 + q = 49 + 22q Solving 70 + q = 49 + 22q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-22q' to each side of the equation. 70 + q + -22q = 49 + 22q + -22q Combine like terms: q + -22q = -21q 70 + -21q = 49 + 22q + -22q Combine like terms: 22q + -22q = 0 70 + -21q = 49 + 0 70 + -21q = 49 Add '-70' to each side of the equation. 70 + -70 + -21q = 49 + -70 Combine like terms: 70 + -70 = 0 0 + -21q = 49 + -70 -21q = 49 + -70 Combine like terms: 49 + -70 = -21 -21q = -21 Divide each side by '-21'. q = 1 Simplifying q = 1
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