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Simplifying 6q + -13 = 4q + -9 Reorder the terms: -13 + 6q = 4q + -9 Reorder the terms: -13 + 6q = -9 + 4q Solving -13 + 6q = -9 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -13 + 6q + -4q = -9 + 4q + -4q Combine like terms: 6q + -4q = 2q -13 + 2q = -9 + 4q + -4q Combine like terms: 4q + -4q = 0 -13 + 2q = -9 + 0 -13 + 2q = -9 Add '13' to each side of the equation. -13 + 13 + 2q = -9 + 13 Combine like terms: -13 + 13 = 0 0 + 2q = -9 + 13 2q = -9 + 13 Combine like terms: -9 + 13 = 4 2q = 4 Divide each side by '2'. q = 2 Simplifying q = 2
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