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Simplifying -4(5k + 7) = -28 + -6k Reorder the terms: -4(7 + 5k) = -28 + -6k (7 * -4 + 5k * -4) = -28 + -6k (-28 + -20k) = -28 + -6k Add '28' to each side of the equation. -28 + 28 + -20k = -28 + 28 + -6k Combine like terms: -28 + 28 = 0 0 + -20k = -28 + 28 + -6k -20k = -28 + 28 + -6k Combine like terms: -28 + 28 = 0 -20k = 0 + -6k -20k = -6k Solving -20k = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -20k + 6k = -6k + 6k Combine like terms: -20k + 6k = -14k -14k = -6k + 6k Combine like terms: -6k + 6k = 0 -14k = 0 Divide each side by '-14'. k = 0 Simplifying k = 0
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