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Simplifying 5k + 35 = -8(-7 + -1k) Reorder the terms: 35 + 5k = -8(-7 + -1k) 35 + 5k = (-7 * -8 + -1k * -8) 35 + 5k = (56 + 8k) Solving 35 + 5k = 56 + 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. 35 + 5k + -8k = 56 + 8k + -8k Combine like terms: 5k + -8k = -3k 35 + -3k = 56 + 8k + -8k Combine like terms: 8k + -8k = 0 35 + -3k = 56 + 0 35 + -3k = 56 Add '-35' to each side of the equation. 35 + -35 + -3k = 56 + -35 Combine like terms: 35 + -35 = 0 0 + -3k = 56 + -35 -3k = 56 + -35 Combine like terms: 56 + -35 = 21 -3k = 21 Divide each side by '-3'. k = -7 Simplifying k = -7
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