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Simplifying 4 + 2q = 8q + -6 + -8 Reorder the terms: 4 + 2q = -6 + -8 + 8q Combine like terms: -6 + -8 = -14 4 + 2q = -14 + 8q Solving 4 + 2q = -14 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 4 + 2q + -8q = -14 + 8q + -8q Combine like terms: 2q + -8q = -6q 4 + -6q = -14 + 8q + -8q Combine like terms: 8q + -8q = 0 4 + -6q = -14 + 0 4 + -6q = -14 Add '-4' to each side of the equation. 4 + -4 + -6q = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -6q = -14 + -4 -6q = -14 + -4 Combine like terms: -14 + -4 = -18 -6q = -18 Divide each side by '-6'. q = 3 Simplifying q = 3
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