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Simplifying 4(k + -7) = -4 + 7k Reorder the terms: 4(-7 + k) = -4 + 7k (-7 * 4 + k * 4) = -4 + 7k (-28 + 4k) = -4 + 7k Solving -28 + 4k = -4 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -28 + 4k + -7k = -4 + 7k + -7k Combine like terms: 4k + -7k = -3k -28 + -3k = -4 + 7k + -7k Combine like terms: 7k + -7k = 0 -28 + -3k = -4 + 0 -28 + -3k = -4 Add '28' to each side of the equation. -28 + 28 + -3k = -4 + 28 Combine like terms: -28 + 28 = 0 0 + -3k = -4 + 28 -3k = -4 + 28 Combine like terms: -4 + 28 = 24 -3k = 24 Divide each side by '-3'. k = -8 Simplifying k = -8
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