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Simplifying 40q + -4 = 51q + -92 Reorder the terms: -4 + 40q = 51q + -92 Reorder the terms: -4 + 40q = -92 + 51q Solving -4 + 40q = -92 + 51q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-51q' to each side of the equation. -4 + 40q + -51q = -92 + 51q + -51q Combine like terms: 40q + -51q = -11q -4 + -11q = -92 + 51q + -51q Combine like terms: 51q + -51q = 0 -4 + -11q = -92 + 0 -4 + -11q = -92 Add '4' to each side of the equation. -4 + 4 + -11q = -92 + 4 Combine like terms: -4 + 4 = 0 0 + -11q = -92 + 4 -11q = -92 + 4 Combine like terms: -92 + 4 = -88 -11q = -88 Divide each side by '-11'. q = 8 Simplifying q = 8
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