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Simplifying 6q + -13 = 3q + 11 Reorder the terms: -13 + 6q = 3q + 11 Reorder the terms: -13 + 6q = 11 + 3q Solving -13 + 6q = 11 + 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. -13 + 6q + -3q = 11 + 3q + -3q Combine like terms: 6q + -3q = 3q -13 + 3q = 11 + 3q + -3q Combine like terms: 3q + -3q = 0 -13 + 3q = 11 + 0 -13 + 3q = 11 Add '13' to each side of the equation. -13 + 13 + 3q = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 3q = 11 + 13 3q = 11 + 13 Combine like terms: 11 + 13 = 24 3q = 24 Divide each side by '3'. q = 8 Simplifying q = 8
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