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Simplifying 4k + -1(k + -3) = 1(k + -51) Reorder the terms: 4k + -1(-3 + k) = 1(k + -51) 4k + (-3 * -1 + k * -1) = 1(k + -51) 4k + (3 + -1k) = 1(k + -51) Reorder the terms: 3 + 4k + -1k = 1(k + -51) Combine like terms: 4k + -1k = 3k 3 + 3k = 1(k + -51) Reorder the terms: 3 + 3k = 1(-51 + k) 3 + 3k = (-51 * 1 + k * 1) 3 + 3k = (-51 + 1k) Solving 3 + 3k = -51 + 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 = -51 + 1k + -1k Combine like terms: 3k + -1k = 2k 3 + 2k = -51 + 1k + -1k Combine like terms: 1k + -1k = 0 3 + 2k = -51 + 0 3 + 2k = -51 Add '-3' to each side of the equation. 3 + -3 + 2k = -51 + -3 Combine like terms: 3 + -3 = 0 0 + 2k = -51 + -3 2k = -51 + -3 Combine like terms: -51 + -3 = -54 2k = -54 Divide each side by '2'. k = -27 Simplifying k = -27
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