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Simplifying 4.2q + -1.8 + -3.4q = -0.02q + -4.4 Reorder the terms: -1.8 + 4.2q + -3.4q = -0.02q + -4.4 Combine like terms: 4.2q + -3.4q = 0.8q -1.8 + 0.8q = -0.02q + -4.4 Reorder the terms: -1.8 + 0.8q = -4.4 + -0.02q Solving -1.8 + 0.8q = -4.4 + -0.02q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.02q' to each side of the equation. -1.8 + 0.8q + 0.02q = -4.4 + -0.02q + 0.02q Combine like terms: 0.8q + 0.02q = 0.82q -1.8 + 0.82q = -4.4 + -0.02q + 0.02q Combine like terms: -0.02q + 0.02q = 0.00 -1.8 + 0.82q = -4.4 + 0.00 -1.8 + 0.82q = -4.4 Add '1.8' to each side of the equation. -1.8 + 1.8 + 0.82q = -4.4 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + 0.82q = -4.4 + 1.8 0.82q = -4.4 + 1.8 Combine like terms: -4.4 + 1.8 = -2.6 0.82q = -2.6 Divide each side by '0.82'. q = -3.170731707 Simplifying q = -3.170731707
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