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Simplifying 10 + -3q = 5q + 14 Reorder the terms: 10 + -3q = 14 + 5q Solving 10 + -3q = 14 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 10 + -3q + -5q = 14 + 5q + -5q Combine like terms: -3q + -5q = -8q 10 + -8q = 14 + 5q + -5q Combine like terms: 5q + -5q = 0 10 + -8q = 14 + 0 10 + -8q = 14 Add '-10' to each side of the equation. 10 + -10 + -8q = 14 + -10 Combine like terms: 10 + -10 = 0 0 + -8q = 14 + -10 -8q = 14 + -10 Combine like terms: 14 + -10 = 4 -8q = 4 Divide each side by '-8'. q = -0.5 Simplifying q = -0.5
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