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Simplifying 5 = 3(2 + k) + 5 5 = (2 * 3 + k * 3) + 5 5 = (6 + 3k) + 5 Reorder the terms: 5 = 6 + 5 + 3k Combine like terms: 6 + 5 = 11 5 = 11 + 3k Solving 5 = 11 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 5 + -3k = 11 + 3k + -3k Combine like terms: 3k + -3k = 0 5 + -3k = 11 + 0 5 + -3k = 11 Add '-5' to each side of the equation. 5 + -5 + -3k = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -3k = 11 + -5 -3k = 11 + -5 Combine like terms: 11 + -5 = 6 -3k = 6 Divide each side by '-3'. k = -2 Simplifying k = -2
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