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Simplifying 78 = 6(6 + -3k) + -3k 78 = (6 * 6 + -3k * 6) + -3k 78 = (36 + -18k) + -3k Combine like terms: -18k + -3k = -21k 78 = 36 + -21k Solving 78 = 36 + -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. 78 + 21k = 36 + -21k + 21k Combine like terms: -21k + 21k = 0 78 + 21k = 36 + 0 78 + 21k = 36 Add '-78' to each side of the equation. 78 + -78 + 21k = 36 + -78 Combine like terms: 78 + -78 = 0 0 + 21k = 36 + -78 21k = 36 + -78 Combine like terms: 36 + -78 = -42 21k = -42 Divide each side by '21'. k = -2 Simplifying k = -2
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