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Simplifying 122 = 8(k + 7) + 3k Reorder the terms: 122 = 8(7 + k) + 3k 122 = (7 * 8 + k * 8) + 3k 122 = (56 + 8k) + 3k Combine like terms: 8k + 3k = 11k 122 = 56 + 11k Solving 122 = 56 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 122 + -11k = 56 + 11k + -11k Combine like terms: 11k + -11k = 0 122 + -11k = 56 + 0 122 + -11k = 56 Add '-122' to each side of the equation. 122 + -122 + -11k = 56 + -122 Combine like terms: 122 + -122 = 0 0 + -11k = 56 + -122 -11k = 56 + -122 Combine like terms: 56 + -122 = -66 -11k = -66 Divide each side by '-11'. k = 6 Simplifying k = 6
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