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Simplifying 4(6 + 2q) + -2q = 6 (6 * 4 + 2q * 4) + -2q = 6 (24 + 8q) + -2q = 6 Combine like terms: 8q + -2q = 6q 24 + 6q = 6 Solving 24 + 6q = 6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6q = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 6q = 6 + -24 6q = 6 + -24 Combine like terms: 6 + -24 = -18 6q = -18 Divide each side by '6'. q = -3 Simplifying q = -3
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