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Simplifying 4k + -1k + -3 = 1(k + -5) Reorder the terms: -3 + 4k + -1k = 1(k + -5) Combine like terms: 4k + -1k = 3k -3 + 3k = 1(k + -5) Reorder the terms: -3 + 3k = 1(-5 + k) -3 + 3k = (-5 * 1 + k * 1) -3 + 3k = (-5 + 1k) Solving -3 + 3k = -5 + 1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -3 + 3k + -1k = -5 + 1k + -1k Combine like terms: 3k + -1k = 2k -3 + 2k = -5 + 1k + -1k Combine like terms: 1k + -1k = 0 -3 + 2k = -5 + 0 -3 + 2k = -5 Add '3' to each side of the equation. -3 + 3 + 2k = -5 + 3 Combine like terms: -3 + 3 = 0 0 + 2k = -5 + 3 2k = -5 + 3 Combine like terms: -5 + 3 = -2 2k = -2 Divide each side by '2'. k = -1 Simplifying k = -1
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