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Simplifying 2.3q + -1.2 + -5.9q = 4.6q + -1.6 Reorder the terms: -1.2 + 2.3q + -5.9q = 4.6q + -1.6 Combine like terms: 2.3q + -5.9q = -3.6q -1.2 + -3.6q = 4.6q + -1.6 Reorder the terms: -1.2 + -3.6q = -1.6 + 4.6q Solving -1.2 + -3.6q = -1.6 + 4.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.6q' to each side of the equation. -1.2 + -3.6q + -4.6q = -1.6 + 4.6q + -4.6q Combine like terms: -3.6q + -4.6q = -8.2q -1.2 + -8.2q = -1.6 + 4.6q + -4.6q Combine like terms: 4.6q + -4.6q = 0.0 -1.2 + -8.2q = -1.6 + 0.0 -1.2 + -8.2q = -1.6 Add '1.2' to each side of the equation. -1.2 + 1.2 + -8.2q = -1.6 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -8.2q = -1.6 + 1.2 -8.2q = -1.6 + 1.2 Combine like terms: -1.6 + 1.2 = -0.4 -8.2q = -0.4 Divide each side by '-8.2'. q = 0.0487804878 Simplifying q = 0.0487804878
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