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Simplifying 5(k + -2) + -4(k + -1) = 6 Reorder the terms: 5(-2 + k) + -4(k + -1) = 6 (-2 * 5 + k * 5) + -4(k + -1) = 6 (-10 + 5k) + -4(k + -1) = 6 Reorder the terms: -10 + 5k + -4(-1 + k) = 6 -10 + 5k + (-1 * -4 + k * -4) = 6 -10 + 5k + (4 + -4k) = 6 Reorder the terms: -10 + 4 + 5k + -4k = 6 Combine like terms: -10 + 4 = -6 -6 + 5k + -4k = 6 Combine like terms: 5k + -4k = 1k -6 + 1k = 6 Solving -6 + 1k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1k = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1k = 6 + 6 1k = 6 + 6 Combine like terms: 6 + 6 = 12 1k = 12 Divide each side by '1'. k = 12 Simplifying k = 12
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