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Simplifying 5(k + -1) + -1(4k + -6) = -7 Reorder the terms: 5(-1 + k) + -1(4k + -6) = -7 (-1 * 5 + k * 5) + -1(4k + -6) = -7 (-5 + 5k) + -1(4k + -6) = -7 Reorder the terms: -5 + 5k + -1(-6 + 4k) = -7 -5 + 5k + (-6 * -1 + 4k * -1) = -7 -5 + 5k + (6 + -4k) = -7 Reorder the terms: -5 + 6 + 5k + -4k = -7 Combine like terms: -5 + 6 = 1 1 + 5k + -4k = -7 Combine like terms: 5k + -4k = 1k 1 + 1k = -7 Solving 1 + 1k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1k = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = -7 + -1 1k = -7 + -1 Combine like terms: -7 + -1 = -8 1k = -8 Divide each side by '1'. k = -8 Simplifying k = -8
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