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Simplifying (-2q) + -5 = 7 + -4 + -4q Reorder the terms: -5 + (-2q) = 7 + -4 + -4q Combine like terms: 7 + -4 = 3 -5 + (-2q) = 3 + -4q Solving -5 + (-2q) = 3 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. -5 + (-2q) + 4q = 3 + -4q + 4q Combine like terms: (-2q) + 4q = 2q -5 + 2q = 3 + -4q + 4q Combine like terms: -4q + 4q = 0 -5 + 2q = 3 + 0 -5 + 2q = 3 Add '5' to each side of the equation. -5 + 5 + 2q = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2q = 3 + 5 2q = 3 + 5 Combine like terms: 3 + 5 = 8 2q = 8 Divide each side by '2'. q = 4 Simplifying q = 4
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