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Simplifying 5.6 + -3.4 + -5.3q = 0.7q + -5.8 Combine like terms: 5.6 + -3.4 = 2.2 2.2 + -5.3q = 0.7q + -5.8 Reorder the terms: 2.2 + -5.3q = -5.8 + 0.7q Solving 2.2 + -5.3q = -5.8 + 0.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.7q' to each side of the equation. 2.2 + -5.3q + -0.7q = -5.8 + 0.7q + -0.7q Combine like terms: -5.3q + -0.7q = -6q 2.2 + -6q = -5.8 + 0.7q + -0.7q Combine like terms: 0.7q + -0.7q = 0.0 2.2 + -6q = -5.8 + 0.0 2.2 + -6q = -5.8 Add '-2.2' to each side of the equation. 2.2 + -2.2 + -6q = -5.8 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + -6q = -5.8 + -2.2 -6q = -5.8 + -2.2 Combine like terms: -5.8 + -2.2 = -8 -6q = -8 Divide each side by '-6'. q = 1.333333333 Simplifying q = 1.333333333
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