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Simplifying 5 + (k + 1) + (3k + -7) + 4 = 15 Reorder the terms: 5 + (1 + k) + (3k + -7) + 4 = 15 Remove parenthesis around (1 + k) 5 + 1 + k + (3k + -7) + 4 = 15 Reorder the terms: 5 + 1 + k + (-7 + 3k) + 4 = 15 Remove parenthesis around (-7 + 3k) 5 + 1 + k + -7 + 3k + 4 = 15 Reorder the terms: 5 + 1 + -7 + 4 + k + 3k = 15 Combine like terms: 5 + 1 = 6 6 + -7 + 4 + k + 3k = 15 Combine like terms: 6 + -7 = -1 -1 + 4 + k + 3k = 15 Combine like terms: -1 + 4 = 3 3 + k + 3k = 15 Combine like terms: k + 3k = 4k 3 + 4k = 15 Solving 3 + 4k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4k = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4k = 15 + -3 4k = 15 + -3 Combine like terms: 15 + -3 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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