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