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Simplifying 3k + -8 + -10 = 7k + 1 Reorder the terms: -8 + -10 + 3k = 7k + 1 Combine like terms: -8 + -10 = -18 -18 + 3k = 7k + 1 Reorder the terms: -18 + 3k = 1 + 7k Solving -18 + 3k = 1 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -18 + 3k + -7k = 1 + 7k + -7k Combine like terms: 3k + -7k = -4k -18 + -4k = 1 + 7k + -7k Combine like terms: 7k + -7k = 0 -18 + -4k = 1 + 0 -18 + -4k = 1 Add '18' to each side of the equation. -18 + 18 + -4k = 1 + 18 Combine like terms: -18 + 18 = 0 0 + -4k = 1 + 18 -4k = 1 + 18 Combine like terms: 1 + 18 = 19 -4k = 19 Divide each side by '-4'. k = -4.75 Simplifying k = -4.75
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