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Simplifying 32 + -5k = -8(-4 + 7k) 32 + -5k = (-4 * -8 + 7k * -8) 32 + -5k = (32 + -56k) Add '-32' to each side of the equation. 32 + -32 + -5k = 32 + -32 + -56k Combine like terms: 32 + -32 = 0 0 + -5k = 32 + -32 + -56k -5k = 32 + -32 + -56k Combine like terms: 32 + -32 = 0 -5k = 0 + -56k -5k = -56k Solving -5k = -56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56k' to each side of the equation. -5k + 56k = -56k + 56k Combine like terms: -5k + 56k = 51k 51k = -56k + 56k Combine like terms: -56k + 56k = 0 51k = 0 Divide each side by '51'. k = 0 Simplifying k = 0
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