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Simplifying -3(k + 2) + 14 = 4k + -13 Reorder the terms: -3(2 + k) + 14 = 4k + -13 (2 * -3 + k * -3) + 14 = 4k + -13 (-6 + -3k) + 14 = 4k + -13 Reorder the terms: -6 + 14 + -3k = 4k + -13 Combine like terms: -6 + 14 = 8 8 + -3k = 4k + -13 Reorder the terms: 8 + -3k = -13 + 4k Solving 8 + -3k = -13 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 8 + -3k + -4k = -13 + 4k + -4k Combine like terms: -3k + -4k = -7k 8 + -7k = -13 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + -7k = -13 + 0 8 + -7k = -13 Add '-8' to each side of the equation. 8 + -8 + -7k = -13 + -8 Combine like terms: 8 + -8 = 0 0 + -7k = -13 + -8 -7k = -13 + -8 Combine like terms: -13 + -8 = -21 -7k = -21 Divide each side by '-7'. k = 3 Simplifying k = 3
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