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Simplifying 8(4k + -2) = -5k + -16 Reorder the terms: 8(-2 + 4k) = -5k + -16 (-2 * 8 + 4k * 8) = -5k + -16 (-16 + 32k) = -5k + -16 Reorder the terms: -16 + 32k = -16 + -5k Add '16' to each side of the equation. -16 + 16 + 32k = -16 + 16 + -5k Combine like terms: -16 + 16 = 0 0 + 32k = -16 + 16 + -5k 32k = -16 + 16 + -5k Combine like terms: -16 + 16 = 0 32k = 0 + -5k 32k = -5k Solving 32k = -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. 32k + 5k = -5k + 5k Combine like terms: 32k + 5k = 37k 37k = -5k + 5k Combine like terms: -5k + 5k = 0 37k = 0 Divide each side by '37'. k = 0 Simplifying k = 0
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