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Simplifying 8(2k + -1) = 11k + 27 Reorder the terms: 8(-1 + 2k) = 11k + 27 (-1 * 8 + 2k * 8) = 11k + 27 (-8 + 16k) = 11k + 27 Reorder the terms: -8 + 16k = 27 + 11k Solving -8 + 16k = 27 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -8 + 16k + -11k = 27 + 11k + -11k Combine like terms: 16k + -11k = 5k -8 + 5k = 27 + 11k + -11k Combine like terms: 11k + -11k = 0 -8 + 5k = 27 + 0 -8 + 5k = 27 Add '8' to each side of the equation. -8 + 8 + 5k = 27 + 8 Combine like terms: -8 + 8 = 0 0 + 5k = 27 + 8 5k = 27 + 8 Combine like terms: 27 + 8 = 35 5k = 35 Divide each side by '5'. k = 7 Simplifying k = 7
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