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Simplifying q + 13 = 3 + 3q Reorder the terms: 13 + q = 3 + 3q Solving 13 + q = 3 + 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. 13 + q + -3q = 3 + 3q + -3q Combine like terms: q + -3q = -2q 13 + -2q = 3 + 3q + -3q Combine like terms: 3q + -3q = 0 13 + -2q = 3 + 0 13 + -2q = 3 Add '-13' to each side of the equation. 13 + -13 + -2q = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -2q = 3 + -13 -2q = 3 + -13 Combine like terms: 3 + -13 = -10 -2q = -10 Divide each side by '-2'. q = 5 Simplifying q = 5
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