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Simplifying -8k + 40 = -7(4 + 6k) Reorder the terms: 40 + -8k = -7(4 + 6k) 40 + -8k = (4 * -7 + 6k * -7) 40 + -8k = (-28 + -42k) Solving 40 + -8k = -28 + -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. 40 + -8k + 42k = -28 + -42k + 42k Combine like terms: -8k + 42k = 34k 40 + 34k = -28 + -42k + 42k Combine like terms: -42k + 42k = 0 40 + 34k = -28 + 0 40 + 34k = -28 Add '-40' to each side of the equation. 40 + -40 + 34k = -28 + -40 Combine like terms: 40 + -40 = 0 0 + 34k = -28 + -40 34k = -28 + -40 Combine like terms: -28 + -40 = -68 34k = -68 Divide each side by '34'. k = -2 Simplifying k = -2
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