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Simplifying -31 + 7k = 8(k + 4) Reorder the terms: -31 + 7k = 8(4 + k) -31 + 7k = (4 * 8 + k * 8) -31 + 7k = (32 + 8k) Solving -31 + 7k = 32 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -31 + 7k + -8k = 32 + 8k + -8k Combine like terms: 7k + -8k = -1k -31 + -1k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 -31 + -1k = 32 + 0 -31 + -1k = 32 Add '31' to each side of the equation. -31 + 31 + -1k = 32 + 31 Combine like terms: -31 + 31 = 0 0 + -1k = 32 + 31 -1k = 32 + 31 Combine like terms: 32 + 31 = 63 -1k = 63 Divide each side by '-1'. k = -63 Simplifying k = -63
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