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Simplifying -4(k + 7) + -1(-8k + -2) = 3k Reorder the terms: -4(7 + k) + -1(-8k + -2) = 3k (7 * -4 + k * -4) + -1(-8k + -2) = 3k (-28 + -4k) + -1(-8k + -2) = 3k Reorder the terms: -28 + -4k + -1(-2 + -8k) = 3k -28 + -4k + (-2 * -1 + -8k * -1) = 3k -28 + -4k + (2 + 8k) = 3k Reorder the terms: -28 + 2 + -4k + 8k = 3k Combine like terms: -28 + 2 = -26 -26 + -4k + 8k = 3k Combine like terms: -4k + 8k = 4k -26 + 4k = 3k Solving -26 + 4k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -26 + 4k + -3k = 3k + -3k Combine like terms: 4k + -3k = 1k -26 + 1k = 3k + -3k Combine like terms: 3k + -3k = 0 -26 + 1k = 0 Add '26' to each side of the equation. -26 + 26 + 1k = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 1k = 0 + 26 1k = 0 + 26 Combine like terms: 0 + 26 = 26 1k = 26 Divide each side by '1'. k = 26 Simplifying k = 26
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