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Simplifying 7q + 14.64 + 0.71 = 12.3q + 11.11 Reorder the terms: 14.64 + 0.71 + 7q = 12.3q + 11.11 Combine like terms: 14.64 + 0.71 = 15.35 15.35 + 7q = 12.3q + 11.11 Reorder the terms: 15.35 + 7q = 11.11 + 12.3q Solving 15.35 + 7q = 11.11 + 12.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12.3q' to each side of the equation. 15.35 + 7q + -12.3q = 11.11 + 12.3q + -12.3q Combine like terms: 7q + -12.3q = -5.3q 15.35 + -5.3q = 11.11 + 12.3q + -12.3q Combine like terms: 12.3q + -12.3q = 0.0 15.35 + -5.3q = 11.11 + 0.0 15.35 + -5.3q = 11.11 Add '-15.35' to each side of the equation. 15.35 + -15.35 + -5.3q = 11.11 + -15.35 Combine like terms: 15.35 + -15.35 = 0.00 0.00 + -5.3q = 11.11 + -15.35 -5.3q = 11.11 + -15.35 Combine like terms: 11.11 + -15.35 = -4.24 -5.3q = -4.24 Divide each side by '-5.3'. q = 0.8 Simplifying q = 0.8
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