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Simplifying 2q + 4 = 8 + -2q Reorder the terms: 4 + 2q = 8 + -2q Solving 4 + 2q = 8 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 4 + 2q + 2q = 8 + -2q + 2q Combine like terms: 2q + 2q = 4q 4 + 4q = 8 + -2q + 2q Combine like terms: -2q + 2q = 0 4 + 4q = 8 + 0 4 + 4q = 8 Add '-4' to each side of the equation. 4 + -4 + 4q = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 4q = 8 + -4 4q = 8 + -4 Combine like terms: 8 + -4 = 4 4q = 4 Divide each side by '4'. q = 1 Simplifying q = 1
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