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