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Simplifying 5.2q + -2.2 + -4.9 = -0.7q + -5.4 Reorder the terms: -2.2 + -4.9 + 5.2q = -0.7q + -5.4 Combine like terms: -2.2 + -4.9 = -7.1 -7.1 + 5.2q = -0.7q + -5.4 Reorder the terms: -7.1 + 5.2q = -5.4 + -0.7q Solving -7.1 + 5.2q = -5.4 + -0.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.7q' to each side of the equation. -7.1 + 5.2q + 0.7q = -5.4 + -0.7q + 0.7q Combine like terms: 5.2q + 0.7q = 5.9q -7.1 + 5.9q = -5.4 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 -7.1 + 5.9q = -5.4 + 0.0 -7.1 + 5.9q = -5.4 Add '7.1' to each side of the equation. -7.1 + 7.1 + 5.9q = -5.4 + 7.1 Combine like terms: -7.1 + 7.1 = 0.0 0.0 + 5.9q = -5.4 + 7.1 5.9q = -5.4 + 7.1 Combine like terms: -5.4 + 7.1 = 1.7 5.9q = 1.7 Divide each side by '5.9'. q = 0.2881355932 Simplifying q = 0.2881355932
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