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Simplifying 2q + -4 = 5q + 6 Reorder the terms: -4 + 2q = 5q + 6 Reorder the terms: -4 + 2q = 6 + 5q Solving -4 + 2q = 6 + 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. -4 + 2q + -5q = 6 + 5q + -5q Combine like terms: 2q + -5q = -3q -4 + -3q = 6 + 5q + -5q Combine like terms: 5q + -5q = 0 -4 + -3q = 6 + 0 -4 + -3q = 6 Add '4' to each side of the equation. -4 + 4 + -3q = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -3q = 6 + 4 -3q = 6 + 4 Combine like terms: 6 + 4 = 10 -3q = 10 Divide each side by '-3'. q = -3.333333333 Simplifying q = -3.333333333
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