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Simplifying 7 + 8k = -7(6k + -1) Reorder the terms: 7 + 8k = -7(-1 + 6k) 7 + 8k = (-1 * -7 + 6k * -7) 7 + 8k = (7 + -42k) Add '-7' to each side of the equation. 7 + -7 + 8k = 7 + -7 + -42k Combine like terms: 7 + -7 = 0 0 + 8k = 7 + -7 + -42k 8k = 7 + -7 + -42k Combine like terms: 7 + -7 = 0 8k = 0 + -42k 8k = -42k Solving 8k = -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. 8k + 42k = -42k + 42k Combine like terms: 8k + 42k = 50k 50k = -42k + 42k Combine like terms: -42k + 42k = 0 50k = 0 Divide each side by '50'. k = 0.0 Simplifying k = 0.0
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