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Simplifying 4(k + -5) = -12 + 5k Reorder the terms: 4(-5 + k) = -12 + 5k (-5 * 4 + k * 4) = -12 + 5k (-20 + 4k) = -12 + 5k Solving -20 + 4k = -12 + 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. -20 + 4k + -5k = -12 + 5k + -5k Combine like terms: 4k + -5k = -1k -20 + -1k = -12 + 5k + -5k Combine like terms: 5k + -5k = 0 -20 + -1k = -12 + 0 -20 + -1k = -12 Add '20' to each side of the equation. -20 + 20 + -1k = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -1k = -12 + 20 -1k = -12 + 20 Combine like terms: -12 + 20 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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