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Simplifying 28 + -7k = -6(1 + 4k) 28 + -7k = (1 * -6 + 4k * -6) 28 + -7k = (-6 + -24k) Solving 28 + -7k = -6 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 28 + -7k + 24k = -6 + -24k + 24k Combine like terms: -7k + 24k = 17k 28 + 17k = -6 + -24k + 24k Combine like terms: -24k + 24k = 0 28 + 17k = -6 + 0 28 + 17k = -6 Add '-28' to each side of the equation. 28 + -28 + 17k = -6 + -28 Combine like terms: 28 + -28 = 0 0 + 17k = -6 + -28 17k = -6 + -28 Combine like terms: -6 + -28 = -34 17k = -34 Divide each side by '17'. k = -2 Simplifying k = -2
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