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Simplifying -3k + -10 + -8 = 10 + 4k Reorder the terms: -10 + -8 + -3k = 10 + 4k Combine like terms: -10 + -8 = -18 -18 + -3k = 10 + 4k Solving -18 + -3k = 10 + 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. -18 + -3k + -4k = 10 + 4k + -4k Combine like terms: -3k + -4k = -7k -18 + -7k = 10 + 4k + -4k Combine like terms: 4k + -4k = 0 -18 + -7k = 10 + 0 -18 + -7k = 10 Add '18' to each side of the equation. -18 + 18 + -7k = 10 + 18 Combine like terms: -18 + 18 = 0 0 + -7k = 10 + 18 -7k = 10 + 18 Combine like terms: 10 + 18 = 28 -7k = 28 Divide each side by '-7'. k = -4 Simplifying k = -4
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