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Simplifying 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 = 6k 40 + 6k = -26 + 8k + -8k Combine like terms: 8k + -8k = 0 40 + 6k = -26 + 0 40 + 6k = -26 Add '-40' to each side of the equation. 40 + -40 + 6k = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 6k = -26 + -40 6k = -26 + -40 Combine like terms: -26 + -40 = -66 6k = -66 Divide each side by '6'. k = -11 Simplifying k = -11
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