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Simplifying 4q + 8 = -2q + -16 Reorder the terms: 8 + 4q = -2q + -16 Reorder the terms: 8 + 4q = -16 + -2q Solving 8 + 4q = -16 + -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 = -16 + -2q + 2q Combine like terms: 4q + 2q = 6q 8 + 6q = -16 + -2q + 2q Combine like terms: -2q + 2q = 0 8 + 6q = -16 + 0 8 + 6q = -16 Add '-8' to each side of the equation. 8 + -8 + 6q = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 6q = -16 + -8 6q = -16 + -8 Combine like terms: -16 + -8 = -24 6q = -24 Divide each side by '6'. q = -4 Simplifying q = -4
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