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Simplifying -2(2k + 7) = -2k + 8 Reorder the terms: -2(7 + 2k) = -2k + 8 (7 * -2 + 2k * -2) = -2k + 8 (-14 + -4k) = -2k + 8 Reorder the terms: -14 + -4k = 8 + -2k Solving -14 + -4k = 8 + -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. -14 + -4k + 2k = 8 + -2k + 2k Combine like terms: -4k + 2k = -2k -14 + -2k = 8 + -2k + 2k Combine like terms: -2k + 2k = 0 -14 + -2k = 8 + 0 -14 + -2k = 8 Add '14' to each side of the equation. -14 + 14 + -2k = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -2k = 8 + 14 -2k = 8 + 14 Combine like terms: 8 + 14 = 22 -2k = 22 Divide each side by '-2'. k = -11 Simplifying k = -11
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