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Simplifying 2.7q + -4.9 + -4.5q = 2.8q + -3.2 Reorder the terms: -4.9 + 2.7q + -4.5q = 2.8q + -3.2 Combine like terms: 2.7q + -4.5q = -1.8q -4.9 + -1.8q = 2.8q + -3.2 Reorder the terms: -4.9 + -1.8q = -3.2 + 2.8q Solving -4.9 + -1.8q = -3.2 + 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. -4.9 + -1.8q + -2.8q = -3.2 + 2.8q + -2.8q Combine like terms: -1.8q + -2.8q = -4.6q -4.9 + -4.6q = -3.2 + 2.8q + -2.8q Combine like terms: 2.8q + -2.8q = 0.0 -4.9 + -4.6q = -3.2 + 0.0 -4.9 + -4.6q = -3.2 Add '4.9' to each side of the equation. -4.9 + 4.9 + -4.6q = -3.2 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + -4.6q = -3.2 + 4.9 -4.6q = -3.2 + 4.9 Combine like terms: -3.2 + 4.9 = 1.7 -4.6q = 1.7 Divide each side by '-4.6'. q = -0.3695652174 Simplifying q = -0.3695652174
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