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Simplifying 8 + -5q = 21 + -2q Solving 8 + -5q = 21 + -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. 8 + -5q + 2q = 21 + -2q + 2q Combine like terms: -5q + 2q = -3q 8 + -3q = 21 + -2q + 2q Combine like terms: -2q + 2q = 0 8 + -3q = 21 + 0 8 + -3q = 21 Add '-8' to each side of the equation. 8 + -8 + -3q = 21 + -8 Combine like terms: 8 + -8 = 0 0 + -3q = 21 + -8 -3q = 21 + -8 Combine like terms: 21 + -8 = 13 -3q = 13 Divide each side by '-3'. q = -4.333333333 Simplifying q = -4.333333333
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