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Simplifying 7q + -1(9q + 14) = 2 + -1(6q + -5) Reorder the terms: 7q + -1(14 + 9q) = 2 + -1(6q + -5) 7q + (14 * -1 + 9q * -1) = 2 + -1(6q + -5) 7q + (-14 + -9q) = 2 + -1(6q + -5) Reorder the terms: -14 + 7q + -9q = 2 + -1(6q + -5) Combine like terms: 7q + -9q = -2q -14 + -2q = 2 + -1(6q + -5) Reorder the terms: -14 + -2q = 2 + -1(-5 + 6q) -14 + -2q = 2 + (-5 * -1 + 6q * -1) -14 + -2q = 2 + (5 + -6q) Combine like terms: 2 + 5 = 7 -14 + -2q = 7 + -6q Solving -14 + -2q = 7 + -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. -14 + -2q + 6q = 7 + -6q + 6q Combine like terms: -2q + 6q = 4q -14 + 4q = 7 + -6q + 6q Combine like terms: -6q + 6q = 0 -14 + 4q = 7 + 0 -14 + 4q = 7 Add '14' to each side of the equation. -14 + 14 + 4q = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 4q = 7 + 14 4q = 7 + 14 Combine like terms: 7 + 14 = 21 4q = 21 Divide each side by '4'. q = 5.25 Simplifying q = 5.25
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