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Simplifying -7k + 7(4k + 6) = 8k + -10 Reorder the terms: -7k + 7(6 + 4k) = 8k + -10 -7k + (6 * 7 + 4k * 7) = 8k + -10 -7k + (42 + 28k) = 8k + -10 Reorder the terms: 42 + -7k + 28k = 8k + -10 Combine like terms: -7k + 28k = 21k 42 + 21k = 8k + -10 Reorder the terms: 42 + 21k = -10 + 8k Solving 42 + 21k = -10 + 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. 42 + 21k + -8k = -10 + 8k + -8k Combine like terms: 21k + -8k = 13k 42 + 13k = -10 + 8k + -8k Combine like terms: 8k + -8k = 0 42 + 13k = -10 + 0 42 + 13k = -10 Add '-42' to each side of the equation. 42 + -42 + 13k = -10 + -42 Combine like terms: 42 + -42 = 0 0 + 13k = -10 + -42 13k = -10 + -42 Combine like terms: -10 + -42 = -52 13k = -52 Divide each side by '13'. k = -4 Simplifying k = -4
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