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Simplifying 5 + 3q + -4 = 2q + 1 Reorder the terms: 5 + -4 + 3q = 2q + 1 Combine like terms: 5 + -4 = 1 1 + 3q = 2q + 1 Reorder the terms: 1 + 3q = 1 + 2q Add '-1' to each side of the equation. 1 + -1 + 3q = 1 + -1 + 2q Combine like terms: 1 + -1 = 0 0 + 3q = 1 + -1 + 2q 3q = 1 + -1 + 2q Combine like terms: 1 + -1 = 0 3q = 0 + 2q 3q = 2q Solving 3q = 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 3q + -2q = 2q + -2q Combine like terms: 3q + -2q = 1q 1q = 2q + -2q Combine like terms: 2q + -2q = 0 1q = 0 Divide each side by '1'. q = 0 Simplifying q = 0
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