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Simplifying 6(k + 1) + -5(k + 2) = 0 Reorder the terms: 6(1 + k) + -5(k + 2) = 0 (1 * 6 + k * 6) + -5(k + 2) = 0 (6 + 6k) + -5(k + 2) = 0 Reorder the terms: 6 + 6k + -5(2 + k) = 0 6 + 6k + (2 * -5 + k * -5) = 0 6 + 6k + (-10 + -5k) = 0 Reorder the terms: 6 + -10 + 6k + -5k = 0 Combine like terms: 6 + -10 = -4 -4 + 6k + -5k = 0 Combine like terms: 6k + -5k = 1k -4 + 1k = 0 Solving -4 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 1k = 0 + 4 1k = 0 + 4 Combine like terms: 0 + 4 = 4 1k = 4 Divide each side by '1'. k = 4 Simplifying k = 4
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