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Simplifying 5.1q + -5.1 + -5.3q = 1.2q + -5.7 Reorder the terms: -5.1 + 5.1q + -5.3q = 1.2q + -5.7 Combine like terms: 5.1q + -5.3q = -0.2q -5.1 + -0.2q = 1.2q + -5.7 Reorder the terms: -5.1 + -0.2q = -5.7 + 1.2q Solving -5.1 + -0.2q = -5.7 + 1.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.2q' to each side of the equation. -5.1 + -0.2q + -1.2q = -5.7 + 1.2q + -1.2q Combine like terms: -0.2q + -1.2q = -1.4q -5.1 + -1.4q = -5.7 + 1.2q + -1.2q Combine like terms: 1.2q + -1.2q = 0.0 -5.1 + -1.4q = -5.7 + 0.0 -5.1 + -1.4q = -5.7 Add '5.1' to each side of the equation. -5.1 + 5.1 + -1.4q = -5.7 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -1.4q = -5.7 + 5.1 -1.4q = -5.7 + 5.1 Combine like terms: -5.7 + 5.1 = -0.6 -1.4q = -0.6 Divide each side by '-1.4'. q = 0.4285714286 Simplifying q = 0.4285714286
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