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Simplifying 4.2q + -2.1 + -5.8q = 2.6q + -4.5 Reorder the terms: -2.1 + 4.2q + -5.8q = 2.6q + -4.5 Combine like terms: 4.2q + -5.8q = -1.6q -2.1 + -1.6q = 2.6q + -4.5 Reorder the terms: -2.1 + -1.6q = -4.5 + 2.6q Solving -2.1 + -1.6q = -4.5 + 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. -2.1 + -1.6q + -2.6q = -4.5 + 2.6q + -2.6q Combine like terms: -1.6q + -2.6q = -4.2q -2.1 + -4.2q = -4.5 + 2.6q + -2.6q Combine like terms: 2.6q + -2.6q = 0.0 -2.1 + -4.2q = -4.5 + 0.0 -2.1 + -4.2q = -4.5 Add '2.1' to each side of the equation. -2.1 + 2.1 + -4.2q = -4.5 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + -4.2q = -4.5 + 2.1 -4.2q = -4.5 + 2.1 Combine like terms: -4.5 + 2.1 = -2.4 -4.2q = -2.4 Divide each side by '-4.2'. q = 0.5714285714 Simplifying q = 0.5714285714
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