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Simplifying 6(1 + 4q) = 6q (1 * 6 + 4q * 6) = 6q (6 + 24q) = 6q Solving 6 + 24q = 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 6 + 24q + -6q = 6q + -6q Combine like terms: 24q + -6q = 18q 6 + 18q = 6q + -6q Combine like terms: 6q + -6q = 0 6 + 18q = 0 Add '-6' to each side of the equation. 6 + -6 + 18q = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 18q = 0 + -6 18q = 0 + -6 Combine like terms: 0 + -6 = -6 18q = -6 Divide each side by '18'. q = -0.3333333333 Simplifying q = -0.3333333333
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