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Simplifying k + 4 + -5(k + 2) = 3k + -2 Reorder the terms: k + 4 + -5(2 + k) = 3k + -2 k + 4 + (2 * -5 + k * -5) = 3k + -2 k + 4 + (-10 + -5k) = 3k + -2 Reorder the terms: 4 + -10 + k + -5k = 3k + -2 Combine like terms: 4 + -10 = -6 -6 + k + -5k = 3k + -2 Combine like terms: k + -5k = -4k -6 + -4k = 3k + -2 Reorder the terms: -6 + -4k = -2 + 3k Solving -6 + -4k = -2 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -6 + -4k + -3k = -2 + 3k + -3k Combine like terms: -4k + -3k = -7k -6 + -7k = -2 + 3k + -3k Combine like terms: 3k + -3k = 0 -6 + -7k = -2 + 0 -6 + -7k = -2 Add '6' to each side of the equation. -6 + 6 + -7k = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -7k = -2 + 6 -7k = -2 + 6 Combine like terms: -2 + 6 = 4 -7k = 4 Divide each side by '-7'. k = -0.5714285714 Simplifying k = -0.5714285714
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