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Simplifying -1(1 + 2k) = -37 + 4k (1 * -1 + 2k * -1) = -37 + 4k (-1 + -2k) = -37 + 4k Solving -1 + -2k = -37 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -1 + -2k + -4k = -37 + 4k + -4k Combine like terms: -2k + -4k = -6k -1 + -6k = -37 + 4k + -4k Combine like terms: 4k + -4k = 0 -1 + -6k = -37 + 0 -1 + -6k = -37 Add '1' to each side of the equation. -1 + 1 + -6k = -37 + 1 Combine like terms: -1 + 1 = 0 0 + -6k = -37 + 1 -6k = -37 + 1 Combine like terms: -37 + 1 = -36 -6k = -36 Divide each side by '-6'. k = 6 Simplifying k = 6
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