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Simplifying 5.3q + -1.3 + -5.6q = 1.3q + -1.9 Reorder the terms: -1.3 + 5.3q + -5.6q = 1.3q + -1.9 Combine like terms: 5.3q + -5.6q = -0.3q -1.3 + -0.3q = 1.3q + -1.9 Reorder the terms: -1.3 + -0.3q = -1.9 + 1.3q Solving -1.3 + -0.3q = -1.9 + 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. -1.3 + -0.3q + -1.3q = -1.9 + 1.3q + -1.3q Combine like terms: -0.3q + -1.3q = -1.6q -1.3 + -1.6q = -1.9 + 1.3q + -1.3q Combine like terms: 1.3q + -1.3q = 0.0 -1.3 + -1.6q = -1.9 + 0.0 -1.3 + -1.6q = -1.9 Add '1.3' to each side of the equation. -1.3 + 1.3 + -1.6q = -1.9 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + -1.6q = -1.9 + 1.3 -1.6q = -1.9 + 1.3 Combine like terms: -1.9 + 1.3 = -0.6 -1.6q = -0.6 Divide each side by '-1.6'. q = 0.375 Simplifying q = 0.375
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