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Simplifying -1(5k + -7) = -4k + 10 Reorder the terms: -1(-7 + 5k) = -4k + 10 (-7 * -1 + 5k * -1) = -4k + 10 (7 + -5k) = -4k + 10 Reorder the terms: 7 + -5k = 10 + -4k Solving 7 + -5k = 10 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 7 + -5k + 4k = 10 + -4k + 4k Combine like terms: -5k + 4k = -1k 7 + -1k = 10 + -4k + 4k Combine like terms: -4k + 4k = 0 7 + -1k = 10 + 0 7 + -1k = 10 Add '-7' to each side of the equation. 7 + -7 + -1k = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 10 + -7 -1k = 10 + -7 Combine like terms: 10 + -7 = 3 -1k = 3 Divide each side by '-1'. k = -3 Simplifying k = -3
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