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Simplifying 4(4 + -2q) + -1(8 + -2q) + -6 = 0 (4 * 4 + -2q * 4) + -1(8 + -2q) + -6 = 0 (16 + -8q) + -1(8 + -2q) + -6 = 0 16 + -8q + (8 * -1 + -2q * -1) + -6 = 0 16 + -8q + (-8 + 2q) + -6 = 0 Reorder the terms: 16 + -8 + -6 + -8q + 2q = 0 Combine like terms: 16 + -8 = 8 8 + -6 + -8q + 2q = 0 Combine like terms: 8 + -6 = 2 2 + -8q + 2q = 0 Combine like terms: -8q + 2q = -6q 2 + -6q = 0 Solving 2 + -6q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -6q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6q = 0 + -2 -6q = 0 + -2 Combine like terms: 0 + -2 = -2 -6q = -2 Divide each side by '-6'. q = 0.3333333333 Simplifying q = 0.3333333333
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