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Simplifying -16.73 + -7.1q = 6.49 + -15.7q + 12.9q Combine like terms: -15.7q + 12.9q = -2.8q -16.73 + -7.1q = 6.49 + -2.8q Solving -16.73 + -7.1q = 6.49 + -2.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.8q' to each side of the equation. -16.73 + -7.1q + 2.8q = 6.49 + -2.8q + 2.8q Combine like terms: -7.1q + 2.8q = -4.3q -16.73 + -4.3q = 6.49 + -2.8q + 2.8q Combine like terms: -2.8q + 2.8q = 0.0 -16.73 + -4.3q = 6.49 + 0.0 -16.73 + -4.3q = 6.49 Add '16.73' to each side of the equation. -16.73 + 16.73 + -4.3q = 6.49 + 16.73 Combine like terms: -16.73 + 16.73 = 0.00 0.00 + -4.3q = 6.49 + 16.73 -4.3q = 6.49 + 16.73 Combine like terms: 6.49 + 16.73 = 23.22 -4.3q = 23.22 Divide each side by '-4.3'. q = -5.4 Simplifying q = -5.4
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