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