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Simplifying 2q + -5 = 4q + -17 Reorder the terms: -5 + 2q = 4q + -17 Reorder the terms: -5 + 2q = -17 + 4q Solving -5 + 2q = -17 + 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 = -17 + 4q + -4q Combine like terms: 2q + -4q = -2q -5 + -2q = -17 + 4q + -4q Combine like terms: 4q + -4q = 0 -5 + -2q = -17 + 0 -5 + -2q = -17 Add '5' to each side of the equation. -5 + 5 + -2q = -17 + 5 Combine like terms: -5 + 5 = 0 0 + -2q = -17 + 5 -2q = -17 + 5 Combine like terms: -17 + 5 = -12 -2q = -12 Divide each side by '-2'. q = 6 Simplifying q = 6
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