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Simplifying 5(k + 5) = 3(k + -2) Reorder the terms: 5(5 + k) = 3(k + -2) (5 * 5 + k * 5) = 3(k + -2) (25 + 5k) = 3(k + -2) Reorder the terms: 25 + 5k = 3(-2 + k) 25 + 5k = (-2 * 3 + k * 3) 25 + 5k = (-6 + 3k) Solving 25 + 5k = -6 + 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. 25 + 5k + -3k = -6 + 3k + -3k Combine like terms: 5k + -3k = 2k 25 + 2k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 25 + 2k = -6 + 0 25 + 2k = -6 Add '-25' to each side of the equation. 25 + -25 + 2k = -6 + -25 Combine like terms: 25 + -25 = 0 0 + 2k = -6 + -25 2k = -6 + -25 Combine like terms: -6 + -25 = -31 2k = -31 Divide each side by '2'. k = -15.5 Simplifying k = -15.5
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