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Simplifying -22 + 5k = -1(-8k + 7) Reorder the terms: -22 + 5k = -1(7 + -8k) -22 + 5k = (7 * -1 + -8k * -1) -22 + 5k = (-7 + 8k) Solving -22 + 5k = -7 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -22 + 5k + -8k = -7 + 8k + -8k Combine like terms: 5k + -8k = -3k -22 + -3k = -7 + 8k + -8k Combine like terms: 8k + -8k = 0 -22 + -3k = -7 + 0 -22 + -3k = -7 Add '22' to each side of the equation. -22 + 22 + -3k = -7 + 22 Combine like terms: -22 + 22 = 0 0 + -3k = -7 + 22 -3k = -7 + 22 Combine like terms: -7 + 22 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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