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Simplifying 6q + -12 = 8 + 2q Reorder the terms: -12 + 6q = 8 + 2q Solving -12 + 6q = 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. -12 + 6q + -2q = 8 + 2q + -2q Combine like terms: 6q + -2q = 4q -12 + 4q = 8 + 2q + -2q Combine like terms: 2q + -2q = 0 -12 + 4q = 8 + 0 -12 + 4q = 8 Add '12' to each side of the equation. -12 + 12 + 4q = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4q = 8 + 12 4q = 8 + 12 Combine like terms: 8 + 12 = 20 4q = 20 Divide each side by '4'. q = 5 Simplifying q = 5
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