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Simplifying 7q + -1(5q + 17) = 5 + -1(2q + -3) Reorder the terms: 7q + -1(17 + 5q) = 5 + -1(2q + -3) 7q + (17 * -1 + 5q * -1) = 5 + -1(2q + -3) 7q + (-17 + -5q) = 5 + -1(2q + -3) Reorder the terms: -17 + 7q + -5q = 5 + -1(2q + -3) Combine like terms: 7q + -5q = 2q -17 + 2q = 5 + -1(2q + -3) Reorder the terms: -17 + 2q = 5 + -1(-3 + 2q) -17 + 2q = 5 + (-3 * -1 + 2q * -1) -17 + 2q = 5 + (3 + -2q) Combine like terms: 5 + 3 = 8 -17 + 2q = 8 + -2q Solving -17 + 2q = 8 + -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. -17 + 2q + 2q = 8 + -2q + 2q Combine like terms: 2q + 2q = 4q -17 + 4q = 8 + -2q + 2q Combine like terms: -2q + 2q = 0 -17 + 4q = 8 + 0 -17 + 4q = 8 Add '17' to each side of the equation. -17 + 17 + 4q = 8 + 17 Combine like terms: -17 + 17 = 0 0 + 4q = 8 + 17 4q = 8 + 17 Combine like terms: 8 + 17 = 25 4q = 25 Divide each side by '4'. q = 6.25 Simplifying q = 6.25
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