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Simplifying -28 = -4k + -2(k + -4) Reorder the terms: -28 = -4k + -2(-4 + k) -28 = -4k + (-4 * -2 + k * -2) -28 = -4k + (8 + -2k) Reorder the terms: -28 = 8 + -4k + -2k Combine like terms: -4k + -2k = -6k -28 = 8 + -6k Solving -28 = 8 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -28 + 6k = 8 + -6k + 6k Combine like terms: -6k + 6k = 0 -28 + 6k = 8 + 0 -28 + 6k = 8 Add '28' to each side of the equation. -28 + 28 + 6k = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 6k = 8 + 28 6k = 8 + 28 Combine like terms: 8 + 28 = 36 6k = 36 Divide each side by '6'. k = 6 Simplifying k = 6
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