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Simplifying 4(8k + -8) + 2k = -4(2 + -7k) Reorder the terms: 4(-8 + 8k) + 2k = -4(2 + -7k) (-8 * 4 + 8k * 4) + 2k = -4(2 + -7k) (-32 + 32k) + 2k = -4(2 + -7k) Combine like terms: 32k + 2k = 34k -32 + 34k = -4(2 + -7k) -32 + 34k = (2 * -4 + -7k * -4) -32 + 34k = (-8 + 28k) Solving -32 + 34k = -8 + 28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28k' to each side of the equation. -32 + 34k + -28k = -8 + 28k + -28k Combine like terms: 34k + -28k = 6k -32 + 6k = -8 + 28k + -28k Combine like terms: 28k + -28k = 0 -32 + 6k = -8 + 0 -32 + 6k = -8 Add '32' to each side of the equation. -32 + 32 + 6k = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 6k = -8 + 32 6k = -8 + 32 Combine like terms: -8 + 32 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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