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Simplifying 16q + -14 = 3q + 6 + 12q Reorder the terms: -14 + 16q = 3q + 6 + 12q Reorder the terms: -14 + 16q = 6 + 3q + 12q Combine like terms: 3q + 12q = 15q -14 + 16q = 6 + 15q Solving -14 + 16q = 6 + 15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15q' to each side of the equation. -14 + 16q + -15q = 6 + 15q + -15q Combine like terms: 16q + -15q = 1q -14 + 1q = 6 + 15q + -15q Combine like terms: 15q + -15q = 0 -14 + 1q = 6 + 0 -14 + 1q = 6 Add '14' to each side of the equation. -14 + 14 + 1q = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 1q = 6 + 14 1q = 6 + 14 Combine like terms: 6 + 14 = 20 1q = 20 Divide each side by '1'. q = 20 Simplifying q = 20
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