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Simplifying 3q + -8q + 13 = 6 + -8q + -3 Reorder the terms: 13 + 3q + -8q = 6 + -8q + -3 Combine like terms: 3q + -8q = -5q 13 + -5q = 6 + -8q + -3 Reorder the terms: 13 + -5q = 6 + -3 + -8q Combine like terms: 6 + -3 = 3 13 + -5q = 3 + -8q Solving 13 + -5q = 3 + -8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8q' to each side of the equation. 13 + -5q + 8q = 3 + -8q + 8q Combine like terms: -5q + 8q = 3q 13 + 3q = 3 + -8q + 8q Combine like terms: -8q + 8q = 0 13 + 3q = 3 + 0 13 + 3q = 3 Add '-13' to each side of the equation. 13 + -13 + 3q = 3 + -13 Combine like terms: 13 + -13 = 0 0 + 3q = 3 + -13 3q = 3 + -13 Combine like terms: 3 + -13 = -10 3q = -10 Divide each side by '3'. q = -3.333333333 Simplifying q = -3.333333333
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