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