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Simplifying 2(20 + 7k) = 2(-4k + -13) (20 * 2 + 7k * 2) = 2(-4k + -13) (40 + 14k) = 2(-4k + -13) Reorder the terms: 40 + 14k = 2(-13 + -4k) 40 + 14k = (-13 * 2 + -4k * 2) 40 + 14k = (-26 + -8k) Solving 40 + 14k = -26 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 40 + 14k + 8k = -26 + -8k + 8k Combine like terms: 14k + 8k = 22k 40 + 22k = -26 + -8k + 8k Combine like terms: -8k + 8k = 0 40 + 22k = -26 + 0 40 + 22k = -26 Add '-40' to each side of the equation. 40 + -40 + 22k = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 22k = -26 + -40 22k = -26 + -40 Combine like terms: -26 + -40 = -66 22k = -66 Divide each side by '22'. k = -3 Simplifying k = -3
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