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Simplifying 5k + 2(k + -6) = k + 5(k + -2) Reorder the terms: 5k + 2(-6 + k) = k + 5(k + -2) 5k + (-6 * 2 + k * 2) = k + 5(k + -2) 5k + (-12 + 2k) = k + 5(k + -2) Reorder the terms: -12 + 5k + 2k = k + 5(k + -2) Combine like terms: 5k + 2k = 7k -12 + 7k = k + 5(k + -2) Reorder the terms: -12 + 7k = k + 5(-2 + k) -12 + 7k = k + (-2 * 5 + k * 5) -12 + 7k = k + (-10 + 5k) Reorder the terms: -12 + 7k = -10 + k + 5k Combine like terms: k + 5k = 6k -12 + 7k = -10 + 6k Solving -12 + 7k = -10 + 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. -12 + 7k + -6k = -10 + 6k + -6k Combine like terms: 7k + -6k = 1k -12 + 1k = -10 + 6k + -6k Combine like terms: 6k + -6k = 0 -12 + 1k = -10 + 0 -12 + 1k = -10 Add '12' to each side of the equation. -12 + 12 + 1k = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 1k = -10 + 12 1k = -10 + 12 Combine like terms: -10 + 12 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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