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Simplifying -146 = 6k + 2(7k + 7) Reorder the terms: -146 = 6k + 2(7 + 7k) -146 = 6k + (7 * 2 + 7k * 2) -146 = 6k + (14 + 14k) Reorder the terms: -146 = 14 + 6k + 14k Combine like terms: 6k + 14k = 20k -146 = 14 + 20k Solving -146 = 14 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. -146 + -20k = 14 + 20k + -20k Combine like terms: 20k + -20k = 0 -146 + -20k = 14 + 0 -146 + -20k = 14 Add '146' to each side of the equation. -146 + 146 + -20k = 14 + 146 Combine like terms: -146 + 146 = 0 0 + -20k = 14 + 146 -20k = 14 + 146 Combine like terms: 14 + 146 = 160 -20k = 160 Divide each side by '-20'. k = -8 Simplifying k = -8
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