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Simplifying -7.6q + 1.3 = -11.5 + -1.2q Reorder the terms: 1.3 + -7.6q = -11.5 + -1.2q Solving 1.3 + -7.6q = -11.5 + -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. 1.3 + -7.6q + 1.2q = -11.5 + -1.2q + 1.2q Combine like terms: -7.6q + 1.2q = -6.4q 1.3 + -6.4q = -11.5 + -1.2q + 1.2q Combine like terms: -1.2q + 1.2q = 0.0 1.3 + -6.4q = -11.5 + 0.0 1.3 + -6.4q = -11.5 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -6.4q = -11.5 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -6.4q = -11.5 + -1.3 -6.4q = -11.5 + -1.3 Combine like terms: -11.5 + -1.3 = -12.8 -6.4q = -12.8 Divide each side by '-6.4'. q = 2 Simplifying q = 2
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