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Simplifying 4 + 8 = 2q + -2 Combine like terms: 4 + 8 = 12 12 = 2q + -2 Reorder the terms: 12 = -2 + 2q Solving 12 = -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 + -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 = -14 -2q = -14 Divide each side by '-2'. q = 7 Simplifying q = 7
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