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Simplifying -38 = 11q + -20 + -8q Reorder the terms: -38 = -20 + 11q + -8q Combine like terms: 11q + -8q = 3q -38 = -20 + 3q Solving -38 = -20 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -38 + -3q = -20 + 3q + -3q Combine like terms: 3q + -3q = 0 -38 + -3q = -20 + 0 -38 + -3q = -20 Add '38' to each side of the equation. -38 + 38 + -3q = -20 + 38 Combine like terms: -38 + 38 = 0 0 + -3q = -20 + 38 -3q = -20 + 38 Combine like terms: -20 + 38 = 18 -3q = 18 Divide each side by '-3'. q = -6 Simplifying q = -6
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