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Simplifying -84 = -2k + -5(k + 7) Reorder the terms: -84 = -2k + -5(7 + k) -84 = -2k + (7 * -5 + k * -5) -84 = -2k + (-35 + -5k) Reorder the terms: -84 = -35 + -2k + -5k Combine like terms: -2k + -5k = -7k -84 = -35 + -7k Solving -84 = -35 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -84 + 7k = -35 + -7k + 7k Combine like terms: -7k + 7k = 0 -84 + 7k = -35 + 0 -84 + 7k = -35 Add '84' to each side of the equation. -84 + 84 + 7k = -35 + 84 Combine like terms: -84 + 84 = 0 0 + 7k = -35 + 84 7k = -35 + 84 Combine like terms: -35 + 84 = 49 7k = 49 Divide each side by '7'. k = 7 Simplifying k = 7
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