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Simplifying 3q + 7 = 6q + -1 Reorder the terms: 7 + 3q = 6q + -1 Reorder the terms: 7 + 3q = -1 + 6q Solving 7 + 3q = -1 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 7 + 3q + -6q = -1 + 6q + -6q Combine like terms: 3q + -6q = -3q 7 + -3q = -1 + 6q + -6q Combine like terms: 6q + -6q = 0 7 + -3q = -1 + 0 7 + -3q = -1 Add '-7' to each side of the equation. 7 + -7 + -3q = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -3q = -1 + -7 -3q = -1 + -7 Combine like terms: -1 + -7 = -8 -3q = -8 Divide each side by '-3'. q = 2.666666667 Simplifying q = 2.666666667
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