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Simplifying 28 + -4k = 4(1 + -7k) 28 + -4k = (1 * 4 + -7k * 4) 28 + -4k = (4 + -28k) Solving 28 + -4k = 4 + -28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28k' to each side of the equation. 28 + -4k + 28k = 4 + -28k + 28k Combine like terms: -4k + 28k = 24k 28 + 24k = 4 + -28k + 28k Combine like terms: -28k + 28k = 0 28 + 24k = 4 + 0 28 + 24k = 4 Add '-28' to each side of the equation. 28 + -28 + 24k = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 24k = 4 + -28 24k = 4 + -28 Combine like terms: 4 + -28 = -24 24k = -24 Divide each side by '24'. k = -1 Simplifying k = -1
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