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Simplifying -2(k + 1) = 26 + 2k Reorder the terms: -2(1 + k) = 26 + 2k (1 * -2 + k * -2) = 26 + 2k (-2 + -2k) = 26 + 2k Solving -2 + -2k = 26 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -2 + -2k + -2k = 26 + 2k + -2k Combine like terms: -2k + -2k = -4k -2 + -4k = 26 + 2k + -2k Combine like terms: 2k + -2k = 0 -2 + -4k = 26 + 0 -2 + -4k = 26 Add '2' to each side of the equation. -2 + 2 + -4k = 26 + 2 Combine like terms: -2 + 2 = 0 0 + -4k = 26 + 2 -4k = 26 + 2 Combine like terms: 26 + 2 = 28 -4k = 28 Divide each side by '-4'. k = -7 Simplifying k = -7
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