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Simplifying 8k + 8(k + -1) = 5k + 36 Reorder the terms: 8k + 8(-1 + k) = 5k + 36 8k + (-1 * 8 + k * 8) = 5k + 36 8k + (-8 + 8k) = 5k + 36 Reorder the terms: -8 + 8k + 8k = 5k + 36 Combine like terms: 8k + 8k = 16k -8 + 16k = 5k + 36 Reorder the terms: -8 + 16k = 36 + 5k Solving -8 + 16k = 36 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -8 + 16k + -5k = 36 + 5k + -5k Combine like terms: 16k + -5k = 11k -8 + 11k = 36 + 5k + -5k Combine like terms: 5k + -5k = 0 -8 + 11k = 36 + 0 -8 + 11k = 36 Add '8' to each side of the equation. -8 + 8 + 11k = 36 + 8 Combine like terms: -8 + 8 = 0 0 + 11k = 36 + 8 11k = 36 + 8 Combine like terms: 36 + 8 = 44 11k = 44 Divide each side by '11'. k = 4 Simplifying k = 4
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