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Simplifying 6q + -9 = 4q + -19 Reorder the terms: -9 + 6q = 4q + -19 Reorder the terms: -9 + 6q = -19 + 4q Solving -9 + 6q = -19 + 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. -9 + 6q + -4q = -19 + 4q + -4q Combine like terms: 6q + -4q = 2q -9 + 2q = -19 + 4q + -4q Combine like terms: 4q + -4q = 0 -9 + 2q = -19 + 0 -9 + 2q = -19 Add '9' to each side of the equation. -9 + 9 + 2q = -19 + 9 Combine like terms: -9 + 9 = 0 0 + 2q = -19 + 9 2q = -19 + 9 Combine like terms: -19 + 9 = -10 2q = -10 Divide each side by '2'. q = -5 Simplifying q = -5
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