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Simplifying 3.8q + -4.8 + -5.4q = 2.6q + -2.2 Reorder the terms: -4.8 + 3.8q + -5.4q = 2.6q + -2.2 Combine like terms: 3.8q + -5.4q = -1.6q -4.8 + -1.6q = 2.6q + -2.2 Reorder the terms: -4.8 + -1.6q = -2.2 + 2.6q Solving -4.8 + -1.6q = -2.2 + 2.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2.6q' to each side of the equation. -4.8 + -1.6q + -2.6q = -2.2 + 2.6q + -2.6q Combine like terms: -1.6q + -2.6q = -4.2q -4.8 + -4.2q = -2.2 + 2.6q + -2.6q Combine like terms: 2.6q + -2.6q = 0.0 -4.8 + -4.2q = -2.2 + 0.0 -4.8 + -4.2q = -2.2 Add '4.8' to each side of the equation. -4.8 + 4.8 + -4.2q = -2.2 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + -4.2q = -2.2 + 4.8 -4.2q = -2.2 + 4.8 Combine like terms: -2.2 + 4.8 = 2.6 -4.2q = 2.6 Divide each side by '-4.2'. q = -0.619047619 Simplifying q = -0.619047619
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