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Simplifying 5(k + -2) + -8k = -31 Reorder the terms: 5(-2 + k) + -8k = -31 (-2 * 5 + k * 5) + -8k = -31 (-10 + 5k) + -8k = -31 Combine like terms: 5k + -8k = -3k -10 + -3k = -31 Solving -10 + -3k = -31 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3k = -31 + 10 Combine like terms: -10 + 10 = 0 0 + -3k = -31 + 10 -3k = -31 + 10 Combine like terms: -31 + 10 = -21 -3k = -21 Divide each side by '-3'. k = 7 Simplifying k = 7
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