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Simplifying 12q + 4 = 8q + -6 Reorder the terms: 4 + 12q = 8q + -6 Reorder the terms: 4 + 12q = -6 + 8q Solving 4 + 12q = -6 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 4 + 12q + -8q = -6 + 8q + -8q Combine like terms: 12q + -8q = 4q 4 + 4q = -6 + 8q + -8q Combine like terms: 8q + -8q = 0 4 + 4q = -6 + 0 4 + 4q = -6 Add '-4' to each side of the equation. 4 + -4 + 4q = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 4q = -6 + -4 4q = -6 + -4 Combine like terms: -6 + -4 = -10 4q = -10 Divide each side by '4'. q = -2.5 Simplifying q = -2.5
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