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Simplifying 4k + -22 = -5(-8k + -2) + 4 Reorder the terms: -22 + 4k = -5(-8k + -2) + 4 Reorder the terms: -22 + 4k = -5(-2 + -8k) + 4 -22 + 4k = (-2 * -5 + -8k * -5) + 4 -22 + 4k = (10 + 40k) + 4 Reorder the terms: -22 + 4k = 10 + 4 + 40k Combine like terms: 10 + 4 = 14 -22 + 4k = 14 + 40k Solving -22 + 4k = 14 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. -22 + 4k + -40k = 14 + 40k + -40k Combine like terms: 4k + -40k = -36k -22 + -36k = 14 + 40k + -40k Combine like terms: 40k + -40k = 0 -22 + -36k = 14 + 0 -22 + -36k = 14 Add '22' to each side of the equation. -22 + 22 + -36k = 14 + 22 Combine like terms: -22 + 22 = 0 0 + -36k = 14 + 22 -36k = 14 + 22 Combine like terms: 14 + 22 = 36 -36k = 36 Divide each side by '-36'. k = -1 Simplifying k = -1
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