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Simplifying 1.3q + -4.6 + -2.4q = -2.1q + -4.9 Reorder the terms: -4.6 + 1.3q + -2.4q = -2.1q + -4.9 Combine like terms: 1.3q + -2.4q = -1.1q -4.6 + -1.1q = -2.1q + -4.9 Reorder the terms: -4.6 + -1.1q = -4.9 + -2.1q Solving -4.6 + -1.1q = -4.9 + -2.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2.1q' to each side of the equation. -4.6 + -1.1q + 2.1q = -4.9 + -2.1q + 2.1q Combine like terms: -1.1q + 2.1q = 1q -4.6 + 1q = -4.9 + -2.1q + 2.1q Combine like terms: -2.1q + 2.1q = 0.0 -4.6 + 1q = -4.9 + 0.0 -4.6 + 1q = -4.9 Add '4.6' to each side of the equation. -4.6 + 4.6 + 1q = -4.9 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 1q = -4.9 + 4.6 1q = -4.9 + 4.6 Combine like terms: -4.9 + 4.6 = -0.3 1q = -0.3 Divide each side by '1'. q = -0.3 Simplifying q = -0.3
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