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Simplifying -7.3q + 1.4 = -28.6 + -1.3q Reorder the terms: 1.4 + -7.3q = -28.6 + -1.3q Solving 1.4 + -7.3q = -28.6 + -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. 1.4 + -7.3q + 1.3q = -28.6 + -1.3q + 1.3q Combine like terms: -7.3q + 1.3q = -6q 1.4 + -6q = -28.6 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 1.4 + -6q = -28.6 + 0.0 1.4 + -6q = -28.6 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -6q = -28.6 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -6q = -28.6 + -1.4 -6q = -28.6 + -1.4 Combine like terms: -28.6 + -1.4 = -30 -6q = -30 Divide each side by '-6'. q = 5 Simplifying q = 5
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