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Simplifying 12 + -4q = 6q + 2 Reorder the terms: 12 + -4q = 2 + 6q Solving 12 + -4q = 2 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 12 + -4q + -6q = 2 + 6q + -6q Combine like terms: -4q + -6q = -10q 12 + -10q = 2 + 6q + -6q Combine like terms: 6q + -6q = 0 12 + -10q = 2 + 0 12 + -10q = 2 Add '-12' to each side of the equation. 12 + -12 + -10q = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -10q = 2 + -12 -10q = 2 + -12 Combine like terms: 2 + -12 = -10 -10q = -10 Divide each side by '-10'. q = 1 Simplifying q = 1
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