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Simplifying 2(k + -7) = -28 + 4k Reorder the terms: 2(-7 + k) = -28 + 4k (-7 * 2 + k * 2) = -28 + 4k (-14 + 2k) = -28 + 4k Solving -14 + 2k = -28 + 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. -14 + 2k + -4k = -28 + 4k + -4k Combine like terms: 2k + -4k = -2k -14 + -2k = -28 + 4k + -4k Combine like terms: 4k + -4k = 0 -14 + -2k = -28 + 0 -14 + -2k = -28 Add '14' to each side of the equation. -14 + 14 + -2k = -28 + 14 Combine like terms: -14 + 14 = 0 0 + -2k = -28 + 14 -2k = -28 + 14 Combine like terms: -28 + 14 = -14 -2k = -14 Divide each side by '-2'. k = 7 Simplifying k = 7
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