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Simplifying 2(8q + 1) = -2q + -6 Reorder the terms: 2(1 + 8q) = -2q + -6 (1 * 2 + 8q * 2) = -2q + -6 (2 + 16q) = -2q + -6 Reorder the terms: 2 + 16q = -6 + -2q Solving 2 + 16q = -6 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 2 + 16q + 2q = -6 + -2q + 2q Combine like terms: 16q + 2q = 18q 2 + 18q = -6 + -2q + 2q Combine like terms: -2q + 2q = 0 2 + 18q = -6 + 0 2 + 18q = -6 Add '-2' to each side of the equation. 2 + -2 + 18q = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 18q = -6 + -2 18q = -6 + -2 Combine like terms: -6 + -2 = -8 18q = -8 Divide each side by '18'. q = -0.4444444444 Simplifying q = -0.4444444444
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