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