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Simplifying -100 = 5(-3k + -5) Reorder the terms: -100 = 5(-5 + -3k) -100 = (-5 * 5 + -3k * 5) -100 = (-25 + -15k) Solving -100 = -25 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -100 + 15k = -25 + -15k + 15k Combine like terms: -15k + 15k = 0 -100 + 15k = -25 + 0 -100 + 15k = -25 Add '100' to each side of the equation. -100 + 100 + 15k = -25 + 100 Combine like terms: -100 + 100 = 0 0 + 15k = -25 + 100 15k = -25 + 100 Combine like terms: -25 + 100 = 75 15k = 75 Divide each side by '15'. k = 5 Simplifying k = 5
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