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Simplifying 5q + (q + -3) = 3q + -1(2q + -5) Reorder the terms: 5q + (-3 + q) = 3q + -1(2q + -5) Remove parenthesis around (-3 + q) 5q + -3 + q = 3q + -1(2q + -5) Reorder the terms: -3 + 5q + q = 3q + -1(2q + -5) Combine like terms: 5q + q = 6q -3 + 6q = 3q + -1(2q + -5) Reorder the terms: -3 + 6q = 3q + -1(-5 + 2q) -3 + 6q = 3q + (-5 * -1 + 2q * -1) -3 + 6q = 3q + (5 + -2q) Reorder the terms: -3 + 6q = 5 + 3q + -2q Combine like terms: 3q + -2q = 1q -3 + 6q = 5 + 1q Solving -3 + 6q = 5 + 1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -3 + 6q + -1q = 5 + 1q + -1q Combine like terms: 6q + -1q = 5q -3 + 5q = 5 + 1q + -1q Combine like terms: 1q + -1q = 0 -3 + 5q = 5 + 0 -3 + 5q = 5 Add '3' to each side of the equation. -3 + 3 + 5q = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 5q = 5 + 3 5q = 5 + 3 Combine like terms: 5 + 3 = 8 5q = 8 Divide each side by '5'. q = 1.6 Simplifying q = 1.6
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