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Simplifying -2k + -25 = -3(7k + 2) Reorder the terms: -25 + -2k = -3(7k + 2) Reorder the terms: -25 + -2k = -3(2 + 7k) -25 + -2k = (2 * -3 + 7k * -3) -25 + -2k = (-6 + -21k) Solving -25 + -2k = -6 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. -25 + -2k + 21k = -6 + -21k + 21k Combine like terms: -2k + 21k = 19k -25 + 19k = -6 + -21k + 21k Combine like terms: -21k + 21k = 0 -25 + 19k = -6 + 0 -25 + 19k = -6 Add '25' to each side of the equation. -25 + 25 + 19k = -6 + 25 Combine like terms: -25 + 25 = 0 0 + 19k = -6 + 25 19k = -6 + 25 Combine like terms: -6 + 25 = 19 19k = 19 Divide each side by '19'. k = 1 Simplifying k = 1
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