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Simplifying 7(-4k + 7) = -23 + -4k Reorder the terms: 7(7 + -4k) = -23 + -4k (7 * 7 + -4k * 7) = -23 + -4k (49 + -28k) = -23 + -4k Solving 49 + -28k = -23 + -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. 49 + -28k + 4k = -23 + -4k + 4k Combine like terms: -28k + 4k = -24k 49 + -24k = -23 + -4k + 4k Combine like terms: -4k + 4k = 0 49 + -24k = -23 + 0 49 + -24k = -23 Add '-49' to each side of the equation. 49 + -49 + -24k = -23 + -49 Combine like terms: 49 + -49 = 0 0 + -24k = -23 + -49 -24k = -23 + -49 Combine like terms: -23 + -49 = -72 -24k = -72 Divide each side by '-24'. k = 3 Simplifying k = 3
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