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Simplifying 4k + -1(k + -3) = 6k + -306 Reorder the terms: 4k + -1(-3 + k) = 6k + -306 4k + (-3 * -1 + k * -1) = 6k + -306 4k + (3 + -1k) = 6k + -306 Reorder the terms: 3 + 4k + -1k = 6k + -306 Combine like terms: 4k + -1k = 3k 3 + 3k = 6k + -306 Reorder the terms: 3 + 3k = -306 + 6k Solving 3 + 3k = -306 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 3 + 3k + -6k = -306 + 6k + -6k Combine like terms: 3k + -6k = -3k 3 + -3k = -306 + 6k + -6k Combine like terms: 6k + -6k = 0 3 + -3k = -306 + 0 3 + -3k = -306 Add '-3' to each side of the equation. 3 + -3 + -3k = -306 + -3 Combine like terms: 3 + -3 = 0 0 + -3k = -306 + -3 -3k = -306 + -3 Combine like terms: -306 + -3 = -309 -3k = -309 Divide each side by '-3'. k = 103 Simplifying k = 103
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