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Simplifying 3q + -16 = 2q + 12 Reorder the terms: -16 + 3q = 2q + 12 Reorder the terms: -16 + 3q = 12 + 2q Solving -16 + 3q = 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. -16 + 3q + -2q = 12 + 2q + -2q Combine like terms: 3q + -2q = 1q -16 + 1q = 12 + 2q + -2q Combine like terms: 2q + -2q = 0 -16 + 1q = 12 + 0 -16 + 1q = 12 Add '16' to each side of the equation. -16 + 16 + 1q = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 1q = 12 + 16 1q = 12 + 16 Combine like terms: 12 + 16 = 28 1q = 28 Divide each side by '1'. q = 28 Simplifying q = 28
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