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Simplifying 2.1q + -2.7 + -2.3q = -1.2 + -1q + -2.7 Reorder the terms: -2.7 + 2.1q + -2.3q = -1.2 + -1q + -2.7 Combine like terms: 2.1q + -2.3q = -0.2q -2.7 + -0.2q = -1.2 + -1q + -2.7 Reorder the terms: -2.7 + -0.2q = -1.2 + -2.7 + -1q Combine like terms: -1.2 + -2.7 = -3.9 -2.7 + -0.2q = -3.9 + -1q Solving -2.7 + -0.2q = -3.9 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -2.7 + -0.2q + q = -3.9 + -1q + q Combine like terms: -0.2q + q = 0.8q -2.7 + 0.8q = -3.9 + -1q + q Combine like terms: -1q + q = 0 -2.7 + 0.8q = -3.9 + 0 -2.7 + 0.8q = -3.9 Add '2.7' to each side of the equation. -2.7 + 2.7 + 0.8q = -3.9 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 0.8q = -3.9 + 2.7 0.8q = -3.9 + 2.7 Combine like terms: -3.9 + 2.7 = -1.2 0.8q = -1.2 Divide each side by '0.8'. q = -1.5 Simplifying q = -1.5
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