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Simplifying -3k + 5(5k + -7) = -101 Reorder the terms: -3k + 5(-7 + 5k) = -101 -3k + (-7 * 5 + 5k * 5) = -101 -3k + (-35 + 25k) = -101 Reorder the terms: -35 + -3k + 25k = -101 Combine like terms: -3k + 25k = 22k -35 + 22k = -101 Solving -35 + 22k = -101 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 22k = -101 + 35 Combine like terms: -35 + 35 = 0 0 + 22k = -101 + 35 22k = -101 + 35 Combine like terms: -101 + 35 = -66 22k = -66 Divide each side by '22'. k = -3 Simplifying k = -3
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