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Simplifying 2q + 10 = 4q + -2 Reorder the terms: 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 = -2q 10 + -2q = -2 + 4q + -4q Combine like terms: 4q + -4q = 0 10 + -2q = -2 + 0 10 + -2q = -2 Add '-10' to each side of the equation. 10 + -10 + -2q = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2q = -2 + -10 -2q = -2 + -10 Combine like terms: -2 + -10 = -12 -2q = -12 Divide each side by '-2'. q = 6 Simplifying q = 6
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