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Simplifying -84 = 6 + -3(-5 + 7k) -84 = 6 + (-5 * -3 + 7k * -3) -84 = 6 + (15 + -21k) Combine like terms: 6 + 15 = 21 -84 = 21 + -21k Solving -84 = 21 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. -84 + 21k = 21 + -21k + 21k Combine like terms: -21k + 21k = 0 -84 + 21k = 21 + 0 -84 + 21k = 21 Add '84' to each side of the equation. -84 + 84 + 21k = 21 + 84 Combine like terms: -84 + 84 = 0 0 + 21k = 21 + 84 21k = 21 + 84 Combine like terms: 21 + 84 = 105 21k = 105 Divide each side by '21'. k = 5 Simplifying k = 5
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