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Simplifying 9q + -1(7q + 12) = 6 + -1(2q + -7) Reorder the terms: 9q + -1(12 + 7q) = 6 + -1(2q + -7) 9q + (12 * -1 + 7q * -1) = 6 + -1(2q + -7) 9q + (-12 + -7q) = 6 + -1(2q + -7) Reorder the terms: -12 + 9q + -7q = 6 + -1(2q + -7) Combine like terms: 9q + -7q = 2q -12 + 2q = 6 + -1(2q + -7) Reorder the terms: -12 + 2q = 6 + -1(-7 + 2q) -12 + 2q = 6 + (-7 * -1 + 2q * -1) -12 + 2q = 6 + (7 + -2q) Combine like terms: 6 + 7 = 13 -12 + 2q = 13 + -2q Solving -12 + 2q = 13 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -12 + 2q + 2q = 13 + -2q + 2q Combine like terms: 2q + 2q = 4q -12 + 4q = 13 + -2q + 2q Combine like terms: -2q + 2q = 0 -12 + 4q = 13 + 0 -12 + 4q = 13 Add '12' to each side of the equation. -12 + 12 + 4q = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 4q = 13 + 12 4q = 13 + 12 Combine like terms: 13 + 12 = 25 4q = 25 Divide each side by '4'. q = 6.25 Simplifying q = 6.25
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