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