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Simplifying 1q + 2 = -6q + 3 + 8q + 4 Reorder the terms: 2 + 1q = -6q + 3 + 8q + 4 Reorder the terms: 2 + 1q = 3 + 4 + -6q + 8q Combine like terms: 3 + 4 = 7 2 + 1q = 7 + -6q + 8q Combine like terms: -6q + 8q = 2q 2 + 1q = 7 + 2q Solving 2 + 1q = 7 + 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. 2 + 1q + -2q = 7 + 2q + -2q Combine like terms: 1q + -2q = -1q 2 + -1q = 7 + 2q + -2q Combine like terms: 2q + -2q = 0 2 + -1q = 7 + 0 2 + -1q = 7 Add '-2' to each side of the equation. 2 + -2 + -1q = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -1q = 7 + -2 -1q = 7 + -2 Combine like terms: 7 + -2 = 5 -1q = 5 Divide each side by '-1'. q = -5 Simplifying q = -5
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