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Simplifying 10 + -4k = -1(k + 5) Reorder the terms: 10 + -4k = -1(5 + k) 10 + -4k = (5 * -1 + k * -1) 10 + -4k = (-5 + -1k) Solving 10 + -4k = -5 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 10 + -4k + k = -5 + -1k + k Combine like terms: -4k + k = -3k 10 + -3k = -5 + -1k + k Combine like terms: -1k + k = 0 10 + -3k = -5 + 0 10 + -3k = -5 Add '-10' to each side of the equation. 10 + -10 + -3k = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -3k = -5 + -10 -3k = -5 + -10 Combine like terms: -5 + -10 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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