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Simplifying (3q + 46) + (q + 25) = 7q + 37 Reorder the terms: (46 + 3q) + (q + 25) = 7q + 37 Remove parenthesis around (46 + 3q) 46 + 3q + (q + 25) = 7q + 37 Reorder the terms: 46 + 3q + (25 + q) = 7q + 37 Remove parenthesis around (25 + q) 46 + 3q + 25 + q = 7q + 37 Reorder the terms: 46 + 25 + 3q + q = 7q + 37 Combine like terms: 46 + 25 = 71 71 + 3q + q = 7q + 37 Combine like terms: 3q + q = 4q 71 + 4q = 7q + 37 Reorder the terms: 71 + 4q = 37 + 7q Solving 71 + 4q = 37 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 71 + 4q + -7q = 37 + 7q + -7q Combine like terms: 4q + -7q = -3q 71 + -3q = 37 + 7q + -7q Combine like terms: 7q + -7q = 0 71 + -3q = 37 + 0 71 + -3q = 37 Add '-71' to each side of the equation. 71 + -71 + -3q = 37 + -71 Combine like terms: 71 + -71 = 0 0 + -3q = 37 + -71 -3q = 37 + -71 Combine like terms: 37 + -71 = -34 -3q = -34 Divide each side by '-3'. q = 11.33333333 Simplifying q = 11.33333333
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