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Simplifying -3(k + 8) + -4(k + 4) = 4k + -7k Reorder the terms: -3(8 + k) + -4(k + 4) = 4k + -7k (8 * -3 + k * -3) + -4(k + 4) = 4k + -7k (-24 + -3k) + -4(k + 4) = 4k + -7k Reorder the terms: -24 + -3k + -4(4 + k) = 4k + -7k -24 + -3k + (4 * -4 + k * -4) = 4k + -7k -24 + -3k + (-16 + -4k) = 4k + -7k Reorder the terms: -24 + -16 + -3k + -4k = 4k + -7k Combine like terms: -24 + -16 = -40 -40 + -3k + -4k = 4k + -7k Combine like terms: -3k + -4k = -7k -40 + -7k = 4k + -7k Combine like terms: 4k + -7k = -3k -40 + -7k = -3k Solving -40 + -7k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -40 + -7k + 3k = -3k + 3k Combine like terms: -7k + 3k = -4k -40 + -4k = -3k + 3k Combine like terms: -3k + 3k = 0 -40 + -4k = 0 Add '40' to each side of the equation. -40 + 40 + -4k = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -4k = 0 + 40 -4k = 0 + 40 Combine like terms: 0 + 40 = 40 -4k = 40 Divide each side by '-4'. k = -10 Simplifying k = -10
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