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Simplifying -7q + -5(2q + -1) = -6q + 3 Reorder the terms: -7q + -5(-1 + 2q) = -6q + 3 -7q + (-1 * -5 + 2q * -5) = -6q + 3 -7q + (5 + -10q) = -6q + 3 Reorder the terms: 5 + -7q + -10q = -6q + 3 Combine like terms: -7q + -10q = -17q 5 + -17q = -6q + 3 Reorder the terms: 5 + -17q = 3 + -6q Solving 5 + -17q = 3 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. 5 + -17q + 6q = 3 + -6q + 6q Combine like terms: -17q + 6q = -11q 5 + -11q = 3 + -6q + 6q Combine like terms: -6q + 6q = 0 5 + -11q = 3 + 0 5 + -11q = 3 Add '-5' to each side of the equation. 5 + -5 + -11q = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -11q = 3 + -5 -11q = 3 + -5 Combine like terms: 3 + -5 = -2 -11q = -2 Divide each side by '-11'. q = 0.1818181818 Simplifying q = 0.1818181818
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