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Simplifying (k + 3) + 2(k + -7) = 74 Reorder the terms: (3 + k) + 2(k + -7) = 74 Remove parenthesis around (3 + k) 3 + k + 2(k + -7) = 74 Reorder the terms: 3 + k + 2(-7 + k) = 74 3 + k + (-7 * 2 + k * 2) = 74 3 + k + (-14 + 2k) = 74 Reorder the terms: 3 + -14 + k + 2k = 74 Combine like terms: 3 + -14 = -11 -11 + k + 2k = 74 Combine like terms: k + 2k = 3k -11 + 3k = 74 Solving -11 + 3k = 74 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 3k = 74 + 11 Combine like terms: -11 + 11 = 0 0 + 3k = 74 + 11 3k = 74 + 11 Combine like terms: 74 + 11 = 85 3k = 85 Divide each side by '3'. k = 28.33333333 Simplifying k = 28.33333333
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