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Simplifying 4(k + -4) + -5k = 4 + -8(k + 8) Reorder the terms: 4(-4 + k) + -5k = 4 + -8(k + 8) (-4 * 4 + k * 4) + -5k = 4 + -8(k + 8) (-16 + 4k) + -5k = 4 + -8(k + 8) Combine like terms: 4k + -5k = -1k -16 + -1k = 4 + -8(k + 8) Reorder the terms: -16 + -1k = 4 + -8(8 + k) -16 + -1k = 4 + (8 * -8 + k * -8) -16 + -1k = 4 + (-64 + -8k) Combine like terms: 4 + -64 = -60 -16 + -1k = -60 + -8k Solving -16 + -1k = -60 + -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. -16 + -1k + 8k = -60 + -8k + 8k Combine like terms: -1k + 8k = 7k -16 + 7k = -60 + -8k + 8k Combine like terms: -8k + 8k = 0 -16 + 7k = -60 + 0 -16 + 7k = -60 Add '16' to each side of the equation. -16 + 16 + 7k = -60 + 16 Combine like terms: -16 + 16 = 0 0 + 7k = -60 + 16 7k = -60 + 16 Combine like terms: -60 + 16 = -44 7k = -44 Divide each side by '7'. k = -6.285714286 Simplifying k = -6.285714286
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