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Simplifying 5.3q + -2.4 + -5.6 = 1.3q + -3.1 Reorder the terms: -2.4 + -5.6 + 5.3q = 1.3q + -3.1 Combine like terms: -2.4 + -5.6 = -8 -8 + 5.3q = 1.3q + -3.1 Reorder the terms: -8 + 5.3q = -3.1 + 1.3q Solving -8 + 5.3q = -3.1 + 1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.3q' to each side of the equation. -8 + 5.3q + -1.3q = -3.1 + 1.3q + -1.3q Combine like terms: 5.3q + -1.3q = 4q -8 + 4q = -3.1 + 1.3q + -1.3q Combine like terms: 1.3q + -1.3q = 0.0 -8 + 4q = -3.1 + 0.0 -8 + 4q = -3.1 Add '8' to each side of the equation. -8 + 8 + 4q = -3.1 + 8 Combine like terms: -8 + 8 = 0 0 + 4q = -3.1 + 8 4q = -3.1 + 8 Combine like terms: -3.1 + 8 = 4.9 4q = 4.9 Divide each side by '4'. q = 1.225 Simplifying q = 1.225
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