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Simplifying -20 + -13q = -16q + 16 + -6q Reorder the terms: -20 + -13q = 16 + -16q + -6q Combine like terms: -16q + -6q = -22q -20 + -13q = 16 + -22q Solving -20 + -13q = 16 + -22q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '22q' to each side of the equation. -20 + -13q + 22q = 16 + -22q + 22q Combine like terms: -13q + 22q = 9q -20 + 9q = 16 + -22q + 22q Combine like terms: -22q + 22q = 0 -20 + 9q = 16 + 0 -20 + 9q = 16 Add '20' to each side of the equation. -20 + 20 + 9q = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 9q = 16 + 20 9q = 16 + 20 Combine like terms: 16 + 20 = 36 9q = 36 Divide each side by '9'. q = 4 Simplifying q = 4
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