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Simplifying 7(k + -4) + -1(8k + -4) = -2k Reorder the terms: 7(-4 + k) + -1(8k + -4) = -2k (-4 * 7 + k * 7) + -1(8k + -4) = -2k (-28 + 7k) + -1(8k + -4) = -2k Reorder the terms: -28 + 7k + -1(-4 + 8k) = -2k -28 + 7k + (-4 * -1 + 8k * -1) = -2k -28 + 7k + (4 + -8k) = -2k Reorder the terms: -28 + 4 + 7k + -8k = -2k Combine like terms: -28 + 4 = -24 -24 + 7k + -8k = -2k Combine like terms: 7k + -8k = -1k -24 + -1k = -2k Solving -24 + -1k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -24 + -1k + 2k = -2k + 2k Combine like terms: -1k + 2k = 1k -24 + 1k = -2k + 2k Combine like terms: -2k + 2k = 0 -24 + 1k = 0 Add '24' to each side of the equation. -24 + 24 + 1k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1k = 0 + 24 1k = 0 + 24 Combine like terms: 0 + 24 = 24 1k = 24 Divide each side by '1'. k = 24 Simplifying k = 24
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