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Simplifying 3k + -8 = 5 + -1(4k + -8) Reorder the terms: -8 + 3k = 5 + -1(4k + -8) Reorder the terms: -8 + 3k = 5 + -1(-8 + 4k) -8 + 3k = 5 + (-8 * -1 + 4k * -1) -8 + 3k = 5 + (8 + -4k) Combine like terms: 5 + 8 = 13 -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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