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Simplifying 2.2q + -4.7 + -4.5q = 3.3q + -3.7 Reorder the terms: -4.7 + 2.2q + -4.5q = 3.3q + -3.7 Combine like terms: 2.2q + -4.5q = -2.3q -4.7 + -2.3q = 3.3q + -3.7 Reorder the terms: -4.7 + -2.3q = -3.7 + 3.3q Solving -4.7 + -2.3q = -3.7 + 3.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.3q' to each side of the equation. -4.7 + -2.3q + -3.3q = -3.7 + 3.3q + -3.3q Combine like terms: -2.3q + -3.3q = -5.6q -4.7 + -5.6q = -3.7 + 3.3q + -3.3q Combine like terms: 3.3q + -3.3q = 0.0 -4.7 + -5.6q = -3.7 + 0.0 -4.7 + -5.6q = -3.7 Add '4.7' to each side of the equation. -4.7 + 4.7 + -5.6q = -3.7 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + -5.6q = -3.7 + 4.7 -5.6q = -3.7 + 4.7 Combine like terms: -3.7 + 4.7 = 1 -5.6q = 1 Divide each side by '-5.6'. q = -0.1785714286 Simplifying q = -0.1785714286
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