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Simplifying 4q + -12 = 2q + -2 Reorder the terms: -12 + 4q = 2q + -2 Reorder the terms: -12 + 4q = -2 + 2q Solving -12 + 4q = -2 + 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 + 4q + -2q = -2 + 2q + -2q Combine like terms: 4q + -2q = 2q -12 + 2q = -2 + 2q + -2q Combine like terms: 2q + -2q = 0 -12 + 2q = -2 + 0 -12 + 2q = -2 Add '12' to each side of the equation. -12 + 12 + 2q = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 2q = -2 + 12 2q = -2 + 12 Combine like terms: -2 + 12 = 10 2q = 10 Divide each side by '2'. q = 5 Simplifying q = 5
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