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Simplifying -1k + 15 = -7(6k + -8) Reorder the terms: 15 + -1k = -7(6k + -8) Reorder the terms: 15 + -1k = -7(-8 + 6k) 15 + -1k = (-8 * -7 + 6k * -7) 15 + -1k = (56 + -42k) Solving 15 + -1k = 56 + -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 15 + -1k + 42k = 56 + -42k + 42k Combine like terms: -1k + 42k = 41k 15 + 41k = 56 + -42k + 42k Combine like terms: -42k + 42k = 0 15 + 41k = 56 + 0 15 + 41k = 56 Add '-15' to each side of the equation. 15 + -15 + 41k = 56 + -15 Combine like terms: 15 + -15 = 0 0 + 41k = 56 + -15 41k = 56 + -15 Combine like terms: 56 + -15 = 41 41k = 41 Divide each side by '41'. k = 1 Simplifying k = 1
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