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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 = 14q 1 + 1q = 1 + 14q Add '-1' to each side of the equation. 1 + -1 + 1q = 1 + -1 + 14q Combine like terms: 1 + -1 = 0 0 + 1q = 1 + -1 + 14q 1q = 1 + -1 + 14q Combine like terms: 1 + -1 = 0 1q = 0 + 14q 1q = 14q Solving 1q = 14q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-14q' to each side of the equation. 1q + -14q = 14q + -14q Combine like terms: 1q + -14q = -13q -13q = 14q + -14q Combine like terms: 14q + -14q = 0 -13q = 0 Divide each side by '-13'. q = 0 Simplifying q = 0
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