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Simplifying 4(4k + -4) = 5k + -32 Reorder the terms: 4(-4 + 4k) = 5k + -32 (-4 * 4 + 4k * 4) = 5k + -32 (-16 + 16k) = 5k + -32 Reorder the terms: -16 + 16k = -32 + 5k Solving -16 + 16k = -32 + 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. -16 + 16k + -5k = -32 + 5k + -5k Combine like terms: 16k + -5k = 11k -16 + 11k = -32 + 5k + -5k Combine like terms: 5k + -5k = 0 -16 + 11k = -32 + 0 -16 + 11k = -32 Add '16' to each side of the equation. -16 + 16 + 11k = -32 + 16 Combine like terms: -16 + 16 = 0 0 + 11k = -32 + 16 11k = -32 + 16 Combine like terms: -32 + 16 = -16 11k = -16 Divide each side by '11'. k = -1.454545455 Simplifying k = -1.454545455
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