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Simplifying 4(7 + -4k) + 2k = -36 + -6k (7 * 4 + -4k * 4) + 2k = -36 + -6k (28 + -16k) + 2k = -36 + -6k Combine like terms: -16k + 2k = -14k 28 + -14k = -36 + -6k Solving 28 + -14k = -36 + -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 + -14k + 6k = -36 + -6k + 6k Combine like terms: -14k + 6k = -8k 28 + -8k = -36 + -6k + 6k Combine like terms: -6k + 6k = 0 28 + -8k = -36 + 0 28 + -8k = -36 Add '-28' to each side of the equation. 28 + -28 + -8k = -36 + -28 Combine like terms: 28 + -28 = 0 0 + -8k = -36 + -28 -8k = -36 + -28 Combine like terms: -36 + -28 = -64 -8k = -64 Divide each side by '-8'. k = 8 Simplifying k = 8
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