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Simplifying 6q + 3 = 8q + -7 Reorder the terms: 3 + 6q = 8q + -7 Reorder the terms: 3 + 6q = -7 + 8q Solving 3 + 6q = -7 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 3 + 6q + -8q = -7 + 8q + -8q Combine like terms: 6q + -8q = -2q 3 + -2q = -7 + 8q + -8q Combine like terms: 8q + -8q = 0 3 + -2q = -7 + 0 3 + -2q = -7 Add '-3' to each side of the equation. 3 + -3 + -2q = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -2q = -7 + -3 -2q = -7 + -3 Combine like terms: -7 + -3 = -10 -2q = -10 Divide each side by '-2'. q = 5 Simplifying q = 5
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