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Simplifying -7.8q + 1.7 = -66.5 + -1.6q Reorder the terms: 1.7 + -7.8q = -66.5 + -1.6q Solving 1.7 + -7.8q = -66.5 + -1.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.6q' to each side of the equation. 1.7 + -7.8q + 1.6q = -66.5 + -1.6q + 1.6q Combine like terms: -7.8q + 1.6q = -6.2q 1.7 + -6.2q = -66.5 + -1.6q + 1.6q Combine like terms: -1.6q + 1.6q = 0.0 1.7 + -6.2q = -66.5 + 0.0 1.7 + -6.2q = -66.5 Add '-1.7' to each side of the equation. 1.7 + -1.7 + -6.2q = -66.5 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -6.2q = -66.5 + -1.7 -6.2q = -66.5 + -1.7 Combine like terms: -66.5 + -1.7 = -68.2 -6.2q = -68.2 Divide each side by '-6.2'. q = 11 Simplifying q = 11
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