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Simplifying -4 + 2q = 7q + -44 Reorder the terms: -4 + 2q = -44 + 7q Solving -4 + 2q = -44 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -4 + 2q + -7q = -44 + 7q + -7q Combine like terms: 2q + -7q = -5q -4 + -5q = -44 + 7q + -7q Combine like terms: 7q + -7q = 0 -4 + -5q = -44 + 0 -4 + -5q = -44 Add '4' to each side of the equation. -4 + 4 + -5q = -44 + 4 Combine like terms: -4 + 4 = 0 0 + -5q = -44 + 4 -5q = -44 + 4 Combine like terms: -44 + 4 = -40 -5q = -40 Divide each side by '-5'. q = 8 Simplifying q = 8
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