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Simplifying -3(k + 2) + -1(-4k + -4) = 5 Reorder the terms: -3(2 + k) + -1(-4k + -4) = 5 (2 * -3 + k * -3) + -1(-4k + -4) = 5 (-6 + -3k) + -1(-4k + -4) = 5 Reorder the terms: -6 + -3k + -1(-4 + -4k) = 5 -6 + -3k + (-4 * -1 + -4k * -1) = 5 -6 + -3k + (4 + 4k) = 5 Reorder the terms: -6 + 4 + -3k + 4k = 5 Combine like terms: -6 + 4 = -2 -2 + -3k + 4k = 5 Combine like terms: -3k + 4k = 1k -2 + 1k = 5 Solving -2 + 1k = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1k = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 1k = 5 + 2 1k = 5 + 2 Combine like terms: 5 + 2 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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