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Simplifying 1.4q + -5.3 + -5.4q = -5.0q + -5.1 Reorder the terms: -5.3 + 1.4q + -5.4q = -5.0q + -5.1 Combine like terms: 1.4q + -5.4q = -4q -5.3 + -4q = -5.0q + -5.1 Reorder the terms: -5.3 + -4q = -5.1 + -5.0q Solving -5.3 + -4q = -5.1 + -5.0q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.0q' to each side of the equation. -5.3 + -4q + 5.0q = -5.1 + -5.0q + 5.0q Combine like terms: -4q + 5.0q = 1q -5.3 + 1q = -5.1 + -5.0q + 5.0q Combine like terms: -5.0q + 5.0q = 0.0 -5.3 + 1q = -5.1 + 0.0 -5.3 + 1q = -5.1 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -5.1 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -5.1 + 5.3 1q = -5.1 + 5.3 Combine like terms: -5.1 + 5.3 = 0.2 1q = 0.2 Divide each side by '1'. q = 0.2 Simplifying q = 0.2
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