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Simplifying 5k + -1031 = 8k + 4 Reorder the terms: -1031 + 5k = 8k + 4 Reorder the terms: -1031 + 5k = 4 + 8k Solving -1031 + 5k = 4 + 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. -1031 + 5k + -8k = 4 + 8k + -8k Combine like terms: 5k + -8k = -3k -1031 + -3k = 4 + 8k + -8k Combine like terms: 8k + -8k = 0 -1031 + -3k = 4 + 0 -1031 + -3k = 4 Add '1031' to each side of the equation. -1031 + 1031 + -3k = 4 + 1031 Combine like terms: -1031 + 1031 = 0 0 + -3k = 4 + 1031 -3k = 4 + 1031 Combine like terms: 4 + 1031 = 1035 -3k = 1035 Divide each side by '-3'. k = -345 Simplifying k = -345
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