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Simplifying 2k + 40 = -2(1 + -4k) Reorder the terms: 40 + 2k = -2(1 + -4k) 40 + 2k = (1 * -2 + -4k * -2) 40 + 2k = (-2 + 8k) Solving 40 + 2k = -2 + 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 + 2k + -8k = -2 + 8k + -8k Combine like terms: 2k + -8k = -6k 40 + -6k = -2 + 8k + -8k Combine like terms: 8k + -8k = 0 40 + -6k = -2 + 0 40 + -6k = -2 Add '-40' to each side of the equation. 40 + -40 + -6k = -2 + -40 Combine like terms: 40 + -40 = 0 0 + -6k = -2 + -40 -6k = -2 + -40 Combine like terms: -2 + -40 = -42 -6k = -42 Divide each side by '-6'. k = 7 Simplifying k = 7
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