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Simplifying 10q + 8 = 3q + -38 Reorder the terms: 8 + 10q = 3q + -38 Reorder the terms: 8 + 10q = -38 + 3q Solving 8 + 10q = -38 + 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. 8 + 10q + -3q = -38 + 3q + -3q Combine like terms: 10q + -3q = 7q 8 + 7q = -38 + 3q + -3q Combine like terms: 3q + -3q = 0 8 + 7q = -38 + 0 8 + 7q = -38 Add '-8' to each side of the equation. 8 + -8 + 7q = -38 + -8 Combine like terms: 8 + -8 = 0 0 + 7q = -38 + -8 7q = -38 + -8 Combine like terms: -38 + -8 = -46 7q = -46 Divide each side by '7'. q = -6.571428571 Simplifying q = -6.571428571
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