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Simplifying 2(3q + -4) = 3q + 5 Reorder the terms: 2(-4 + 3q) = 3q + 5 (-4 * 2 + 3q * 2) = 3q + 5 (-8 + 6q) = 3q + 5 Reorder the terms: -8 + 6q = 5 + 3q Solving -8 + 6q = 5 + 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. -8 + 6q + -3q = 5 + 3q + -3q Combine like terms: 6q + -3q = 3q -8 + 3q = 5 + 3q + -3q Combine like terms: 3q + -3q = 0 -8 + 3q = 5 + 0 -8 + 3q = 5 Add '8' to each side of the equation. -8 + 8 + 3q = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 3q = 5 + 8 3q = 5 + 8 Combine like terms: 5 + 8 = 13 3q = 13 Divide each side by '3'. q = 4.333333333 Simplifying q = 4.333333333
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