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Simplifying -5k + 8(-2k + -8) = -169 Reorder the terms: -5k + 8(-8 + -2k) = -169 -5k + (-8 * 8 + -2k * 8) = -169 -5k + (-64 + -16k) = -169 Reorder the terms: -64 + -5k + -16k = -169 Combine like terms: -5k + -16k = -21k -64 + -21k = -169 Solving -64 + -21k = -169 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -21k = -169 + 64 Combine like terms: -64 + 64 = 0 0 + -21k = -169 + 64 -21k = -169 + 64 Combine like terms: -169 + 64 = -105 -21k = -105 Divide each side by '-21'. k = 5 Simplifying k = 5
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