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Simplifying 2.33 + 5.1q = 18.32 + 4.8q + -18.18 Reorder the terms: 2.33 + 5.1q = 18.32 + -18.18 + 4.8q Combine like terms: 18.32 + -18.18 = 0.14 2.33 + 5.1q = 0.14 + 4.8q Solving 2.33 + 5.1q = 0.14 + 4.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4.8q' to each side of the equation. 2.33 + 5.1q + -4.8q = 0.14 + 4.8q + -4.8q Combine like terms: 5.1q + -4.8q = 0.3q 2.33 + 0.3q = 0.14 + 4.8q + -4.8q Combine like terms: 4.8q + -4.8q = 0.0 2.33 + 0.3q = 0.14 + 0.0 2.33 + 0.3q = 0.14 Add '-2.33' to each side of the equation. 2.33 + -2.33 + 0.3q = 0.14 + -2.33 Combine like terms: 2.33 + -2.33 = 0.00 0.00 + 0.3q = 0.14 + -2.33 0.3q = 0.14 + -2.33 Combine like terms: 0.14 + -2.33 = -2.19 0.3q = -2.19 Divide each side by '0.3'. q = -7.3 Simplifying q = -7.3
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