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Simplifying 7(3k + -6) = 10 + 8k Reorder the terms: 7(-6 + 3k) = 10 + 8k (-6 * 7 + 3k * 7) = 10 + 8k (-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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