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Simplifying 2(3q + -4) = 4q + 3 Reorder the terms: 2(-4 + 3q) = 4q + 3 (-4 * 2 + 3q * 2) = 4q + 3 (-8 + 6q) = 4q + 3 Reorder the terms: -8 + 6q = 3 + 4q Solving -8 + 6q = 3 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -8 + 6q + -4q = 3 + 4q + -4q Combine like terms: 6q + -4q = 2q -8 + 2q = 3 + 4q + -4q Combine like terms: 4q + -4q = 0 -8 + 2q = 3 + 0 -8 + 2q = 3 Add '8' to each side of the equation. -8 + 8 + 2q = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 2q = 3 + 8 2q = 3 + 8 Combine like terms: 3 + 8 = 11 2q = 11 Divide each side by '2'. q = 5.5 Simplifying q = 5.5
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