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Simplifying -2(k + 5) + -1(-3k + 5) = 8 Reorder the terms: -2(5 + k) + -1(-3k + 5) = 8 (5 * -2 + k * -2) + -1(-3k + 5) = 8 (-10 + -2k) + -1(-3k + 5) = 8 Reorder the terms: -10 + -2k + -1(5 + -3k) = 8 -10 + -2k + (5 * -1 + -3k * -1) = 8 -10 + -2k + (-5 + 3k) = 8 Reorder the terms: -10 + -5 + -2k + 3k = 8 Combine like terms: -10 + -5 = -15 -15 + -2k + 3k = 8 Combine like terms: -2k + 3k = 1k -15 + 1k = 8 Solving -15 + 1k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1k = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 1k = 8 + 15 1k = 8 + 15 Combine like terms: 8 + 15 = 23 1k = 23 Divide each side by '1'. k = 23 Simplifying k = 23
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