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Simplifying -31 + -2k = 5 + -4(3k + -6) Reorder the terms: -31 + -2k = 5 + -4(-6 + 3k) -31 + -2k = 5 + (-6 * -4 + 3k * -4) -31 + -2k = 5 + (24 + -12k) Combine like terms: 5 + 24 = 29 -31 + -2k = 29 + -12k Solving -31 + -2k = 29 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -31 + -2k + 12k = 29 + -12k + 12k Combine like terms: -2k + 12k = 10k -31 + 10k = 29 + -12k + 12k Combine like terms: -12k + 12k = 0 -31 + 10k = 29 + 0 -31 + 10k = 29 Add '31' to each side of the equation. -31 + 31 + 10k = 29 + 31 Combine like terms: -31 + 31 = 0 0 + 10k = 29 + 31 10k = 29 + 31 Combine like terms: 29 + 31 = 60 10k = 60 Divide each side by '10'. k = 6 Simplifying k = 6
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