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Simplifying 6q + -4 = 2q + -12 Reorder the terms: -4 + 6q = 2q + -12 Reorder the terms: -4 + 6q = -12 + 2q Solving -4 + 6q = -12 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -4 + 6q + -2q = -12 + 2q + -2q Combine like terms: 6q + -2q = 4q -4 + 4q = -12 + 2q + -2q Combine like terms: 2q + -2q = 0 -4 + 4q = -12 + 0 -4 + 4q = -12 Add '4' to each side of the equation. -4 + 4 + 4q = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 4q = -12 + 4 4q = -12 + 4 Combine like terms: -12 + 4 = -8 4q = -8 Divide each side by '4'. q = -2 Simplifying q = -2
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