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Simplifying -12q + 4 = 8q + -16 Reorder the terms: 4 + -12q = 8q + -16 Reorder the terms: 4 + -12q = -16 + 8q Solving 4 + -12q = -16 + 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 = -16 + 8q + -8q Combine like terms: -12q + -8q = -20q 4 + -20q = -16 + 8q + -8q Combine like terms: 8q + -8q = 0 4 + -20q = -16 + 0 4 + -20q = -16 Add '-4' to each side of the equation. 4 + -4 + -20q = -16 + -4 Combine like terms: 4 + -4 = 0 0 + -20q = -16 + -4 -20q = -16 + -4 Combine like terms: -16 + -4 = -20 -20q = -20 Divide each side by '-20'. q = 1 Simplifying q = 1
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