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Simplifying -4q + 8 = -2q + -6 Reorder the terms: 8 + -4q = -2q + -6 Reorder the terms: 8 + -4q = -6 + -2q Solving 8 + -4q = -6 + -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. 8 + -4q + 2q = -6 + -2q + 2q Combine like terms: -4q + 2q = -2q 8 + -2q = -6 + -2q + 2q Combine like terms: -2q + 2q = 0 8 + -2q = -6 + 0 8 + -2q = -6 Add '-8' to each side of the equation. 8 + -8 + -2q = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2q = -6 + -8 -2q = -6 + -8 Combine like terms: -6 + -8 = -14 -2q = -14 Divide each side by '-2'. q = 7 Simplifying q = 7
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