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Simplifying 10 + -2q = 4q + 2 Reorder the terms: 10 + -2q = 2 + 4q Solving 10 + -2q = 2 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 10 + -2q + -4q = 2 + 4q + -4q Combine like terms: -2q + -4q = -6q 10 + -6q = 2 + 4q + -4q Combine like terms: 4q + -4q = 0 10 + -6q = 2 + 0 10 + -6q = 2 Add '-10' to each side of the equation. 10 + -10 + -6q = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -6q = 2 + -10 -6q = 2 + -10 Combine like terms: 2 + -10 = -8 -6q = -8 Divide each side by '-6'. q = 1.333333333 Simplifying q = 1.333333333
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