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Simplifying 2.4q + -3.8 + -4.2q = -2.8q + -2.8 Reorder the terms: -3.8 + 2.4q + -4.2q = -2.8q + -2.8 Combine like terms: 2.4q + -4.2q = -1.8q -3.8 + -1.8q = -2.8q + -2.8 Reorder the terms: -3.8 + -1.8q = -2.8 + -2.8q Solving -3.8 + -1.8q = -2.8 + -2.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.8q' to each side of the equation. -3.8 + -1.8q + 2.8q = -2.8 + -2.8q + 2.8q Combine like terms: -1.8q + 2.8q = 1q -3.8 + 1q = -2.8 + -2.8q + 2.8q Combine like terms: -2.8q + 2.8q = 0.0 -3.8 + 1q = -2.8 + 0.0 -3.8 + 1q = -2.8 Add '3.8' to each side of the equation. -3.8 + 3.8 + 1q = -2.8 + 3.8 Combine like terms: -3.8 + 3.8 = 0.0 0.0 + 1q = -2.8 + 3.8 1q = -2.8 + 3.8 Combine like terms: -2.8 + 3.8 = 1 1q = 1 Divide each side by '1'. q = 1 Simplifying q = 1
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