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Simplifying 3k + -31 = 7(4 + -8k) Reorder the terms: -31 + 3k = 7(4 + -8k) -31 + 3k = (4 * 7 + -8k * 7) -31 + 3k = (28 + -56k) Solving -31 + 3k = 28 + -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. -31 + 3k + 56k = 28 + -56k + 56k Combine like terms: 3k + 56k = 59k -31 + 59k = 28 + -56k + 56k Combine like terms: -56k + 56k = 0 -31 + 59k = 28 + 0 -31 + 59k = 28 Add '31' to each side of the equation. -31 + 31 + 59k = 28 + 31 Combine like terms: -31 + 31 = 0 0 + 59k = 28 + 31 59k = 28 + 31 Combine like terms: 28 + 31 = 59 59k = 59 Divide each side by '59'. k = 1 Simplifying k = 1
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