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Simplifying -4(k + 7) = -34 + -3k Reorder the terms: -4(7 + k) = -34 + -3k (7 * -4 + k * -4) = -34 + -3k (-28 + -4k) = -34 + -3k Solving -28 + -4k = -34 + -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. -28 + -4k + 3k = -34 + -3k + 3k Combine like terms: -4k + 3k = -1k -28 + -1k = -34 + -3k + 3k Combine like terms: -3k + 3k = 0 -28 + -1k = -34 + 0 -28 + -1k = -34 Add '28' to each side of the equation. -28 + 28 + -1k = -34 + 28 Combine like terms: -28 + 28 = 0 0 + -1k = -34 + 28 -1k = -34 + 28 Combine like terms: -34 + 28 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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