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Simplifying 3(4q + -2) = 2(3q + 7) Reorder the terms: 3(-2 + 4q) = 2(3q + 7) (-2 * 3 + 4q * 3) = 2(3q + 7) (-6 + 12q) = 2(3q + 7) Reorder the terms: -6 + 12q = 2(7 + 3q) -6 + 12q = (7 * 2 + 3q * 2) -6 + 12q = (14 + 6q) Solving -6 + 12q = 14 + 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. -6 + 12q + -6q = 14 + 6q + -6q Combine like terms: 12q + -6q = 6q -6 + 6q = 14 + 6q + -6q Combine like terms: 6q + -6q = 0 -6 + 6q = 14 + 0 -6 + 6q = 14 Add '6' to each side of the equation. -6 + 6 + 6q = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 6q = 14 + 6 6q = 14 + 6 Combine like terms: 14 + 6 = 20 6q = 20 Divide each side by '6'. q = 3.333333333 Simplifying q = 3.333333333
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