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Simplifying 5(4k + -2) + -1k = 3 + 6k Reorder the terms: 5(-2 + 4k) + -1k = 3 + 6k (-2 * 5 + 4k * 5) + -1k = 3 + 6k (-10 + 20k) + -1k = 3 + 6k Combine like terms: 20k + -1k = 19k -10 + 19k = 3 + 6k Solving -10 + 19k = 3 + 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. -10 + 19k + -6k = 3 + 6k + -6k Combine like terms: 19k + -6k = 13k -10 + 13k = 3 + 6k + -6k Combine like terms: 6k + -6k = 0 -10 + 13k = 3 + 0 -10 + 13k = 3 Add '10' to each side of the equation. -10 + 10 + 13k = 3 + 10 Combine like terms: -10 + 10 = 0 0 + 13k = 3 + 10 13k = 3 + 10 Combine like terms: 3 + 10 = 13 13k = 13 Divide each side by '13'. k = 1 Simplifying k = 1
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