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Simplifying 3q + q + 7 = 7q + -13 Reorder the terms: 7 + 3q + q = 7q + -13 Combine like terms: 3q + q = 4q 7 + 4q = 7q + -13 Reorder the terms: 7 + 4q = -13 + 7q Solving 7 + 4q = -13 + 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. 7 + 4q + -7q = -13 + 7q + -7q Combine like terms: 4q + -7q = -3q 7 + -3q = -13 + 7q + -7q Combine like terms: 7q + -7q = 0 7 + -3q = -13 + 0 7 + -3q = -13 Add '-7' to each side of the equation. 7 + -7 + -3q = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -3q = -13 + -7 -3q = -13 + -7 Combine like terms: -13 + -7 = -20 -3q = -20 Divide each side by '-3'. q = 6.666666667 Simplifying q = 6.666666667
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