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Simplifying -84 = 7(1 + -2k) + 7 -84 = (1 * 7 + -2k * 7) + 7 -84 = (7 + -14k) + 7 Reorder the terms: -84 = 7 + 7 + -14k Combine like terms: 7 + 7 = 14 -84 = 14 + -14k Solving -84 = 14 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -84 + 14k = 14 + -14k + 14k Combine like terms: -14k + 14k = 0 -84 + 14k = 14 + 0 -84 + 14k = 14 Add '84' to each side of the equation. -84 + 84 + 14k = 14 + 84 Combine like terms: -84 + 84 = 0 0 + 14k = 14 + 84 14k = 14 + 84 Combine like terms: 14 + 84 = 98 14k = 98 Divide each side by '14'. k = 7 Simplifying k = 7
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