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Simplifying 5.4q + -2.9 + -4.8q = 0.4q + -4.1 Reorder the terms: -2.9 + 5.4q + -4.8q = 0.4q + -4.1 Combine like terms: 5.4q + -4.8q = 0.6q -2.9 + 0.6q = 0.4q + -4.1 Reorder the terms: -2.9 + 0.6q = -4.1 + 0.4q Solving -2.9 + 0.6q = -4.1 + 0.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.4q' to each side of the equation. -2.9 + 0.6q + -0.4q = -4.1 + 0.4q + -0.4q Combine like terms: 0.6q + -0.4q = 0.2q -2.9 + 0.2q = -4.1 + 0.4q + -0.4q Combine like terms: 0.4q + -0.4q = 0.0 -2.9 + 0.2q = -4.1 + 0.0 -2.9 + 0.2q = -4.1 Add '2.9' to each side of the equation. -2.9 + 2.9 + 0.2q = -4.1 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 0.2q = -4.1 + 2.9 0.2q = -4.1 + 2.9 Combine like terms: -4.1 + 2.9 = -1.2 0.2q = -1.2 Divide each side by '0.2'. q = -6 Simplifying q = -6
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