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Simplifying 8q + -12 = -4q + 36 Reorder the terms: -12 + 8q = -4q + 36 Reorder the terms: -12 + 8q = 36 + -4q Solving -12 + 8q = 36 + -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. -12 + 8q + 4q = 36 + -4q + 4q Combine like terms: 8q + 4q = 12q -12 + 12q = 36 + -4q + 4q Combine like terms: -4q + 4q = 0 -12 + 12q = 36 + 0 -12 + 12q = 36 Add '12' to each side of the equation. -12 + 12 + 12q = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 12q = 36 + 12 12q = 36 + 12 Combine like terms: 36 + 12 = 48 12q = 48 Divide each side by '12'. q = 4 Simplifying q = 4
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