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Simplifying 4.7q + -4.5 + -4.5q = 0.8q + -2.8 Reorder the terms: -4.5 + 4.7q + -4.5q = 0.8q + -2.8 Combine like terms: 4.7q + -4.5q = 0.2q -4.5 + 0.2q = 0.8q + -2.8 Reorder the terms: -4.5 + 0.2q = -2.8 + 0.8q Solving -4.5 + 0.2q = -2.8 + 0.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.8q' to each side of the equation. -4.5 + 0.2q + -0.8q = -2.8 + 0.8q + -0.8q Combine like terms: 0.2q + -0.8q = -0.6q -4.5 + -0.6q = -2.8 + 0.8q + -0.8q Combine like terms: 0.8q + -0.8q = 0.0 -4.5 + -0.6q = -2.8 + 0.0 -4.5 + -0.6q = -2.8 Add '4.5' to each side of the equation. -4.5 + 4.5 + -0.6q = -2.8 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -0.6q = -2.8 + 4.5 -0.6q = -2.8 + 4.5 Combine like terms: -2.8 + 4.5 = 1.7 -0.6q = 1.7 Divide each side by '-0.6'. q = -2.833333333 Simplifying q = -2.833333333
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