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Simplifying 2(k + 5) + -1(-3 + 5) = 8 Reorder the terms: 2(5 + k) + -1(-3 + 5) = 8 (5 * 2 + k * 2) + -1(-3 + 5) = 8 (10 + 2k) + -1(-3 + 5) = 8 Combine like terms: -3 + 5 = 2 10 + 2k + -1(2) = 8 Multiply -1 * 2 10 + 2k + -2 = 8 Reorder the terms: 10 + -2 + 2k = 8 Combine like terms: 10 + -2 = 8 8 + 2k = 8 Add '-8' to each side of the equation. 8 + -8 + 2k = 8 + -8 Combine like terms: 8 + -8 = 0 0 + 2k = 8 + -8 2k = 8 + -8 Combine like terms: 8 + -8 = 0 2k = 0 Solving 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '2'. k = 0 Simplifying k = 0
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