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Simplifying 3(2q + -2) = 4q + -8 Reorder the terms: 3(-2 + 2q) = 4q + -8 (-2 * 3 + 2q * 3) = 4q + -8 (-6 + 6q) = 4q + -8 Reorder the terms: -6 + 6q = -8 + 4q Solving -6 + 6q = -8 + 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. -6 + 6q + -4q = -8 + 4q + -4q Combine like terms: 6q + -4q = 2q -6 + 2q = -8 + 4q + -4q Combine like terms: 4q + -4q = 0 -6 + 2q = -8 + 0 -6 + 2q = -8 Add '6' to each side of the equation. -6 + 6 + 2q = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 2q = -8 + 6 2q = -8 + 6 Combine like terms: -8 + 6 = -2 2q = -2 Divide each side by '2'. q = -1 Simplifying q = -1
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