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Simplifying 12q + -6 = 3(q + 4) Reorder the terms: -6 + 12q = 3(q + 4) Reorder the terms: -6 + 12q = 3(4 + q) -6 + 12q = (4 * 3 + q * 3) -6 + 12q = (12 + 3q) Solving -6 + 12q = 12 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -6 + 12q + -3q = 12 + 3q + -3q Combine like terms: 12q + -3q = 9q -6 + 9q = 12 + 3q + -3q Combine like terms: 3q + -3q = 0 -6 + 9q = 12 + 0 -6 + 9q = 12 Add '6' to each side of the equation. -6 + 6 + 9q = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9q = 12 + 6 9q = 12 + 6 Combine like terms: 12 + 6 = 18 9q = 18 Divide each side by '9'. q = 2 Simplifying q = 2
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