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Simplifying -1q + -17 = -2q + 13 + 4q Reorder the terms: -17 + -1q = -2q + 13 + 4q Reorder the terms: -17 + -1q = 13 + -2q + 4q Combine like terms: -2q + 4q = 2q -17 + -1q = 13 + 2q Solving -17 + -1q = 13 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -17 + -1q + -2q = 13 + 2q + -2q Combine like terms: -1q + -2q = -3q -17 + -3q = 13 + 2q + -2q Combine like terms: 2q + -2q = 0 -17 + -3q = 13 + 0 -17 + -3q = 13 Add '17' to each side of the equation. -17 + 17 + -3q = 13 + 17 Combine like terms: -17 + 17 = 0 0 + -3q = 13 + 17 -3q = 13 + 17 Combine like terms: 13 + 17 = 30 -3q = 30 Divide each side by '-3'. q = -10 Simplifying q = -10
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