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Simplifying -32 + 7k = -5k + -4(-7k + -8) Reorder the terms: -32 + 7k = -5k + -4(-8 + -7k) -32 + 7k = -5k + (-8 * -4 + -7k * -4) -32 + 7k = -5k + (32 + 28k) Reorder the terms: -32 + 7k = 32 + -5k + 28k Combine like terms: -5k + 28k = 23k -32 + 7k = 32 + 23k Solving -32 + 7k = 32 + 23k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23k' to each side of the equation. -32 + 7k + -23k = 32 + 23k + -23k Combine like terms: 7k + -23k = -16k -32 + -16k = 32 + 23k + -23k Combine like terms: 23k + -23k = 0 -32 + -16k = 32 + 0 -32 + -16k = 32 Add '32' to each side of the equation. -32 + 32 + -16k = 32 + 32 Combine like terms: -32 + 32 = 0 0 + -16k = 32 + 32 -16k = 32 + 32 Combine like terms: 32 + 32 = 64 -16k = 64 Divide each side by '-16'. k = -4 Simplifying k = -4
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