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Simplifying 5.1q + -1.8 + -5.2q = 1.1q + -4.6 Reorder the terms: -1.8 + 5.1q + -5.2q = 1.1q + -4.6 Combine like terms: 5.1q + -5.2q = -0.1q -1.8 + -0.1q = 1.1q + -4.6 Reorder the terms: -1.8 + -0.1q = -4.6 + 1.1q Solving -1.8 + -0.1q = -4.6 + 1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.1q' to each side of the equation. -1.8 + -0.1q + -1.1q = -4.6 + 1.1q + -1.1q Combine like terms: -0.1q + -1.1q = -1.2q -1.8 + -1.2q = -4.6 + 1.1q + -1.1q Combine like terms: 1.1q + -1.1q = 0.0 -1.8 + -1.2q = -4.6 + 0.0 -1.8 + -1.2q = -4.6 Add '1.8' to each side of the equation. -1.8 + 1.8 + -1.2q = -4.6 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -1.2q = -4.6 + 1.8 -1.2q = -4.6 + 1.8 Combine like terms: -4.6 + 1.8 = -2.8 -1.2q = -2.8 Divide each side by '-1.2'. q = 2.333333333 Simplifying q = 2.333333333
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