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Simplifying 40 + 3q = 77 + -3q Solving 40 + 3q = 77 + -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. 40 + 3q + 3q = 77 + -3q + 3q Combine like terms: 3q + 3q = 6q 40 + 6q = 77 + -3q + 3q Combine like terms: -3q + 3q = 0 40 + 6q = 77 + 0 40 + 6q = 77 Add '-40' to each side of the equation. 40 + -40 + 6q = 77 + -40 Combine like terms: 40 + -40 = 0 0 + 6q = 77 + -40 6q = 77 + -40 Combine like terms: 77 + -40 = 37 6q = 37 Divide each side by '6'. q = 6.166666667 Simplifying q = 6.166666667
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