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Simplifying 5(k + 2) + -5 = -4 + -3(-1k + 5) Reorder the terms: 5(2 + k) + -5 = -4 + -3(-1k + 5) (2 * 5 + k * 5) + -5 = -4 + -3(-1k + 5) (10 + 5k) + -5 = -4 + -3(-1k + 5) Reorder the terms: 10 + -5 + 5k = -4 + -3(-1k + 5) Combine like terms: 10 + -5 = 5 5 + 5k = -4 + -3(-1k + 5) Reorder the terms: 5 + 5k = -4 + -3(5 + -1k) 5 + 5k = -4 + (5 * -3 + -1k * -3) 5 + 5k = -4 + (-15 + 3k) Combine like terms: -4 + -15 = -19 5 + 5k = -19 + 3k Solving 5 + 5k = -19 + 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. 5 + 5k + -3k = -19 + 3k + -3k Combine like terms: 5k + -3k = 2k 5 + 2k = -19 + 3k + -3k Combine like terms: 3k + -3k = 0 5 + 2k = -19 + 0 5 + 2k = -19 Add '-5' to each side of the equation. 5 + -5 + 2k = -19 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = -19 + -5 2k = -19 + -5 Combine like terms: -19 + -5 = -24 2k = -24 Divide each side by '2'. k = -12 Simplifying k = -12
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