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Simplifying -5(3 + 7k) = -3k + -15 (3 * -5 + 7k * -5) = -3k + -15 (-15 + -35k) = -3k + -15 Reorder the terms: -15 + -35k = -15 + -3k Add '15' to each side of the equation. -15 + 15 + -35k = -15 + 15 + -3k Combine like terms: -15 + 15 = 0 0 + -35k = -15 + 15 + -3k -35k = -15 + 15 + -3k Combine like terms: -15 + 15 = 0 -35k = 0 + -3k -35k = -3k Solving -35k = -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. -35k + 3k = -3k + 3k Combine like terms: -35k + 3k = -32k -32k = -3k + 3k Combine like terms: -3k + 3k = 0 -32k = 0 Divide each side by '-32'. k = 0 Simplifying k = 0
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