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Simplifying 5 = 2(3 + -8q) + -2q 5 = (3 * 2 + -8q * 2) + -2q 5 = (6 + -16q) + -2q Combine like terms: -16q + -2q = -18q 5 = 6 + -18q Solving 5 = 6 + -18q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18q' to each side of the equation. 5 + 18q = 6 + -18q + 18q Combine like terms: -18q + 18q = 0 5 + 18q = 6 + 0 5 + 18q = 6 Add '-5' to each side of the equation. 5 + -5 + 18q = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 18q = 6 + -5 18q = 6 + -5 Combine like terms: 6 + -5 = 1 18q = 1 Divide each side by '18'. q = 0.05555555556 Simplifying q = 0.05555555556
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