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Simplifying 5.8q + -1.2 + -5.1q = -0.3q + -5.7 Reorder the terms: -1.2 + 5.8q + -5.1q = -0.3q + -5.7 Combine like terms: 5.8q + -5.1q = 0.7q -1.2 + 0.7q = -0.3q + -5.7 Reorder the terms: -1.2 + 0.7q = -5.7 + -0.3q Solving -1.2 + 0.7q = -5.7 + -0.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.3q' to each side of the equation. -1.2 + 0.7q + 0.3q = -5.7 + -0.3q + 0.3q Combine like terms: 0.7q + 0.3q = 1q -1.2 + 1q = -5.7 + -0.3q + 0.3q Combine like terms: -0.3q + 0.3q = 0.0 -1.2 + 1q = -5.7 + 0.0 -1.2 + 1q = -5.7 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1q = -5.7 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1q = -5.7 + 1.2 1q = -5.7 + 1.2 Combine like terms: -5.7 + 1.2 = -4.5 1q = -4.5 Divide each side by '1'. q = -4.5 Simplifying q = -4.5
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