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Simplifying -15.33 + 11.7q = 16.6q + 14.04 + -7.81 Reorder the terms: -15.33 + 11.7q = 14.04 + -7.81 + 16.6q Combine like terms: 14.04 + -7.81 = 6.23 -15.33 + 11.7q = 6.23 + 16.6q Solving -15.33 + 11.7q = 6.23 + 16.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16.6q' to each side of the equation. -15.33 + 11.7q + -16.6q = 6.23 + 16.6q + -16.6q Combine like terms: 11.7q + -16.6q = -4.9q -15.33 + -4.9q = 6.23 + 16.6q + -16.6q Combine like terms: 16.6q + -16.6q = 0.0 -15.33 + -4.9q = 6.23 + 0.0 -15.33 + -4.9q = 6.23 Add '15.33' to each side of the equation. -15.33 + 15.33 + -4.9q = 6.23 + 15.33 Combine like terms: -15.33 + 15.33 = 0.00 0.00 + -4.9q = 6.23 + 15.33 -4.9q = 6.23 + 15.33 Combine like terms: 6.23 + 15.33 = 21.56 -4.9q = 21.56 Divide each side by '-4.9'. q = -4.4 Simplifying q = -4.4
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