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Simplifying 2q + -4 + 8q = 7q + -4 + -3q Reorder the terms: -4 + 2q + 8q = 7q + -4 + -3q Combine like terms: 2q + 8q = 10q -4 + 10q = 7q + -4 + -3q Reorder the terms: -4 + 10q = -4 + 7q + -3q Combine like terms: 7q + -3q = 4q -4 + 10q = -4 + 4q Add '4' to each side of the equation. -4 + 4 + 10q = -4 + 4 + 4q Combine like terms: -4 + 4 = 0 0 + 10q = -4 + 4 + 4q 10q = -4 + 4 + 4q Combine like terms: -4 + 4 = 0 10q = 0 + 4q 10q = 4q Solving 10q = 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 10q + -4q = 4q + -4q Combine like terms: 10q + -4q = 6q 6q = 4q + -4q Combine like terms: 4q + -4q = 0 6q = 0 Divide each side by '6'. q = 0 Simplifying q = 0
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