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Simplifying 2.7q + -5.7 + -5.9q = 4.2q + -5.8 Reorder the terms: -5.7 + 2.7q + -5.9q = 4.2q + -5.8 Combine like terms: 2.7q + -5.9q = -3.2q -5.7 + -3.2q = 4.2q + -5.8 Reorder the terms: -5.7 + -3.2q = -5.8 + 4.2q Solving -5.7 + -3.2q = -5.8 + 4.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.2q' to each side of the equation. -5.7 + -3.2q + -4.2q = -5.8 + 4.2q + -4.2q Combine like terms: -3.2q + -4.2q = -7.4q -5.7 + -7.4q = -5.8 + 4.2q + -4.2q Combine like terms: 4.2q + -4.2q = 0.0 -5.7 + -7.4q = -5.8 + 0.0 -5.7 + -7.4q = -5.8 Add '5.7' to each side of the equation. -5.7 + 5.7 + -7.4q = -5.8 + 5.7 Combine like terms: -5.7 + 5.7 = 0.0 0.0 + -7.4q = -5.8 + 5.7 -7.4q = -5.8 + 5.7 Combine like terms: -5.8 + 5.7 = -0.1 -7.4q = -0.1 Divide each side by '-7.4'. q = 0.01351351351 Simplifying q = 0.01351351351
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