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Simplifying -4k + 18 = 3(k + -1) Reorder the terms: 18 + -4k = 3(k + -1) Reorder the terms: 18 + -4k = 3(-1 + k) 18 + -4k = (-1 * 3 + k * 3) 18 + -4k = (-3 + 3k) Solving 18 + -4k = -3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 18 + -4k + -3k = -3 + 3k + -3k Combine like terms: -4k + -3k = -7k 18 + -7k = -3 + 3k + -3k Combine like terms: 3k + -3k = 0 18 + -7k = -3 + 0 18 + -7k = -3 Add '-18' to each side of the equation. 18 + -18 + -7k = -3 + -18 Combine like terms: 18 + -18 = 0 0 + -7k = -3 + -18 -7k = -3 + -18 Combine like terms: -3 + -18 = -21 -7k = -21 Divide each side by '-7'. k = 3 Simplifying k = 3
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