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Simplifying 2(k + 7) + -5(k + 1) = 0 Reorder the terms: 2(7 + k) + -5(k + 1) = 0 (7 * 2 + k * 2) + -5(k + 1) = 0 (14 + 2k) + -5(k + 1) = 0 Reorder the terms: 14 + 2k + -5(1 + k) = 0 14 + 2k + (1 * -5 + k * -5) = 0 14 + 2k + (-5 + -5k) = 0 Reorder the terms: 14 + -5 + 2k + -5k = 0 Combine like terms: 14 + -5 = 9 9 + 2k + -5k = 0 Combine like terms: 2k + -5k = -3k 9 + -3k = 0 Solving 9 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -3k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3k = 0 + -9 -3k = 0 + -9 Combine like terms: 0 + -9 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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