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Simplifying 15k + 69(72 + 32) = k + 78 Combine like terms: 72 + 32 = 104 15k + 69(104) = k + 78 Multiply 69 * 104 15k + 7176 = k + 78 Reorder the terms: 7176 + 15k = k + 78 Reorder the terms: 7176 + 15k = 78 + k Solving 7176 + 15k = 78 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 7176 + 15k + -1k = 78 + k + -1k Combine like terms: 15k + -1k = 14k 7176 + 14k = 78 + k + -1k Combine like terms: k + -1k = 0 7176 + 14k = 78 + 0 7176 + 14k = 78 Add '-7176' to each side of the equation. 7176 + -7176 + 14k = 78 + -7176 Combine like terms: 7176 + -7176 = 0 0 + 14k = 78 + -7176 14k = 78 + -7176 Combine like terms: 78 + -7176 = -7098 14k = -7098 Divide each side by '14'. k = -507 Simplifying k = -507
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