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Simplifying -7k + -5(k + -12) = -8(k + 3) Reorder the terms: -7k + -5(-12 + k) = -8(k + 3) -7k + (-12 * -5 + k * -5) = -8(k + 3) -7k + (60 + -5k) = -8(k + 3) Reorder the terms: 60 + -7k + -5k = -8(k + 3) Combine like terms: -7k + -5k = -12k 60 + -12k = -8(k + 3) Reorder the terms: 60 + -12k = -8(3 + k) 60 + -12k = (3 * -8 + k * -8) 60 + -12k = (-24 + -8k) Solving 60 + -12k = -24 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 60 + -12k + 8k = -24 + -8k + 8k Combine like terms: -12k + 8k = -4k 60 + -4k = -24 + -8k + 8k Combine like terms: -8k + 8k = 0 60 + -4k = -24 + 0 60 + -4k = -24 Add '-60' to each side of the equation. 60 + -60 + -4k = -24 + -60 Combine like terms: 60 + -60 = 0 0 + -4k = -24 + -60 -4k = -24 + -60 Combine like terms: -24 + -60 = -84 -4k = -84 Divide each side by '-4'. k = 21 Simplifying k = 21
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