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Simplifying 4q + -1(7q + 10) = 6 + -1(5q + -5) Reorder the terms: 4q + -1(10 + 7q) = 6 + -1(5q + -5) 4q + (10 * -1 + 7q * -1) = 6 + -1(5q + -5) 4q + (-10 + -7q) = 6 + -1(5q + -5) Reorder the terms: -10 + 4q + -7q = 6 + -1(5q + -5) Combine like terms: 4q + -7q = -3q -10 + -3q = 6 + -1(5q + -5) Reorder the terms: -10 + -3q = 6 + -1(-5 + 5q) -10 + -3q = 6 + (-5 * -1 + 5q * -1) -10 + -3q = 6 + (5 + -5q) Combine like terms: 6 + 5 = 11 -10 + -3q = 11 + -5q Solving -10 + -3q = 11 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. -10 + -3q + 5q = 11 + -5q + 5q Combine like terms: -3q + 5q = 2q -10 + 2q = 11 + -5q + 5q Combine like terms: -5q + 5q = 0 -10 + 2q = 11 + 0 -10 + 2q = 11 Add '10' to each side of the equation. -10 + 10 + 2q = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 2q = 11 + 10 2q = 11 + 10 Combine like terms: 11 + 10 = 21 2q = 21 Divide each side by '2'. q = 10.5 Simplifying q = 10.5
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