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Simplifying -1q + 5 = -8q + 47 Reorder the terms: 5 + -1q = -8q + 47 Reorder the terms: 5 + -1q = 47 + -8q Solving 5 + -1q = 47 + -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. 5 + -1q + 8q = 47 + -8q + 8q Combine like terms: -1q + 8q = 7q 5 + 7q = 47 + -8q + 8q Combine like terms: -8q + 8q = 0 5 + 7q = 47 + 0 5 + 7q = 47 Add '-5' to each side of the equation. 5 + -5 + 7q = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 7q = 47 + -5 7q = 47 + -5 Combine like terms: 47 + -5 = 42 7q = 42 Divide each side by '7'. q = 6 Simplifying q = 6
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