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Simplifying 2.7q + -2.6 + -1.8q = 0.1q + -4.3 Reorder the terms: -2.6 + 2.7q + -1.8q = 0.1q + -4.3 Combine like terms: 2.7q + -1.8q = 0.9q -2.6 + 0.9q = 0.1q + -4.3 Reorder the terms: -2.6 + 0.9q = -4.3 + 0.1q Solving -2.6 + 0.9q = -4.3 + 0.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-0.1q' to each side of the equation. -2.6 + 0.9q + -0.1q = -4.3 + 0.1q + -0.1q Combine like terms: 0.9q + -0.1q = 0.8q -2.6 + 0.8q = -4.3 + 0.1q + -0.1q Combine like terms: 0.1q + -0.1q = 0.0 -2.6 + 0.8q = -4.3 + 0.0 -2.6 + 0.8q = -4.3 Add '2.6' to each side of the equation. -2.6 + 2.6 + 0.8q = -4.3 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 0.8q = -4.3 + 2.6 0.8q = -4.3 + 2.6 Combine like terms: -4.3 + 2.6 = -1.7 0.8q = -1.7 Divide each side by '0.8'. q = -2.125 Simplifying q = -2.125
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