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Simplifying 2(3q + -2) = 3q + 5 Reorder the terms: 2(-2 + 3q) = 3q + 5 (-2 * 2 + 3q * 2) = 3q + 5 (-4 + 6q) = 3q + 5 Reorder the terms: -4 + 6q = 5 + 3q Solving -4 + 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. -4 + 6q + -3q = 5 + 3q + -3q Combine like terms: 6q + -3q = 3q -4 + 3q = 5 + 3q + -3q Combine like terms: 3q + -3q = 0 -4 + 3q = 5 + 0 -4 + 3q = 5 Add '4' to each side of the equation. -4 + 4 + 3q = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3q = 5 + 4 3q = 5 + 4 Combine like terms: 5 + 4 = 9 3q = 9 Divide each side by '3'. q = 3 Simplifying q = 3
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