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Simplifying 12q + -15 = 3(2q + 3) Reorder the terms: -15 + 12q = 3(2q + 3) Reorder the terms: -15 + 12q = 3(3 + 2q) -15 + 12q = (3 * 3 + 2q * 3) -15 + 12q = (9 + 6q) Solving -15 + 12q = 9 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -15 + 12q + -6q = 9 + 6q + -6q Combine like terms: 12q + -6q = 6q -15 + 6q = 9 + 6q + -6q Combine like terms: 6q + -6q = 0 -15 + 6q = 9 + 0 -15 + 6q = 9 Add '15' to each side of the equation. -15 + 15 + 6q = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 6q = 9 + 15 6q = 9 + 15 Combine like terms: 9 + 15 = 24 6q = 24 Divide each side by '6'. q = 4 Simplifying q = 4
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