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Simplifying 50q + -45 = 67q + -96 Reorder the terms: -45 + 50q = 67q + -96 Reorder the terms: -45 + 50q = -96 + 67q Solving -45 + 50q = -96 + 67q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-67q' to each side of the equation. -45 + 50q + -67q = -96 + 67q + -67q Combine like terms: 50q + -67q = -17q -45 + -17q = -96 + 67q + -67q Combine like terms: 67q + -67q = 0 -45 + -17q = -96 + 0 -45 + -17q = -96 Add '45' to each side of the equation. -45 + 45 + -17q = -96 + 45 Combine like terms: -45 + 45 = 0 0 + -17q = -96 + 45 -17q = -96 + 45 Combine like terms: -96 + 45 = -51 -17q = -51 Divide each side by '-17'. q = 3 Simplifying q = 3
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