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Simplifying 4(q + -2) + 2(q + 4) = 6 Reorder the terms: 4(-2 + q) + 2(q + 4) = 6 (-2 * 4 + q * 4) + 2(q + 4) = 6 (-8 + 4q) + 2(q + 4) = 6 Reorder the terms: -8 + 4q + 2(4 + q) = 6 -8 + 4q + (4 * 2 + q * 2) = 6 -8 + 4q + (8 + 2q) = 6 Reorder the terms: -8 + 8 + 4q + 2q = 6 Combine like terms: -8 + 8 = 0 0 + 4q + 2q = 6 4q + 2q = 6 Combine like terms: 4q + 2q = 6q 6q = 6 Solving 6q = 6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Divide each side by '6'. q = 1 Simplifying q = 1
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