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Simplifying 7q + -1(5q + 11) = 9 + -1(6q + -3) Reorder the terms: 7q + -1(11 + 5q) = 9 + -1(6q + -3) 7q + (11 * -1 + 5q * -1) = 9 + -1(6q + -3) 7q + (-11 + -5q) = 9 + -1(6q + -3) Reorder the terms: -11 + 7q + -5q = 9 + -1(6q + -3) Combine like terms: 7q + -5q = 2q -11 + 2q = 9 + -1(6q + -3) Reorder the terms: -11 + 2q = 9 + -1(-3 + 6q) -11 + 2q = 9 + (-3 * -1 + 6q * -1) -11 + 2q = 9 + (3 + -6q) Combine like terms: 9 + 3 = 12 -11 + 2q = 12 + -6q Solving -11 + 2q = 12 + -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. -11 + 2q + 6q = 12 + -6q + 6q Combine like terms: 2q + 6q = 8q -11 + 8q = 12 + -6q + 6q Combine like terms: -6q + 6q = 0 -11 + 8q = 12 + 0 -11 + 8q = 12 Add '11' to each side of the equation. -11 + 11 + 8q = 12 + 11 Combine like terms: -11 + 11 = 0 0 + 8q = 12 + 11 8q = 12 + 11 Combine like terms: 12 + 11 = 23 8q = 23 Divide each side by '8'. q = 2.875 Simplifying q = 2.875
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