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Simplifying -2k + -5(5k + -3) = -8k + -23 Reorder the terms: -2k + -5(-3 + 5k) = -8k + -23 -2k + (-3 * -5 + 5k * -5) = -8k + -23 -2k + (15 + -25k) = -8k + -23 Reorder the terms: 15 + -2k + -25k = -8k + -23 Combine like terms: -2k + -25k = -27k 15 + -27k = -8k + -23 Reorder the terms: 15 + -27k = -23 + -8k Solving 15 + -27k = -23 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 15 + -27k + 8k = -23 + -8k + 8k Combine like terms: -27k + 8k = -19k 15 + -19k = -23 + -8k + 8k Combine like terms: -8k + 8k = 0 15 + -19k = -23 + 0 15 + -19k = -23 Add '-15' to each side of the equation. 15 + -15 + -19k = -23 + -15 Combine like terms: 15 + -15 = 0 0 + -19k = -23 + -15 -19k = -23 + -15 Combine like terms: -23 + -15 = -38 -19k = -38 Divide each side by '-19'. k = 2 Simplifying k = 2
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