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Simplifying -28 + -7k = 5(-5k + -2) Reorder the terms: -28 + -7k = 5(-2 + -5k) -28 + -7k = (-2 * 5 + -5k * 5) -28 + -7k = (-10 + -25k) Solving -28 + -7k = -10 + -25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25k' to each side of the equation. -28 + -7k + 25k = -10 + -25k + 25k Combine like terms: -7k + 25k = 18k -28 + 18k = -10 + -25k + 25k Combine like terms: -25k + 25k = 0 -28 + 18k = -10 + 0 -28 + 18k = -10 Add '28' to each side of the equation. -28 + 28 + 18k = -10 + 28 Combine like terms: -28 + 28 = 0 0 + 18k = -10 + 28 18k = -10 + 28 Combine like terms: -10 + 28 = 18 18k = 18 Divide each side by '18'. k = 1 Simplifying k = 1
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