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Simplifying -3(-9k + 2) + 10 = -2 + 2k Reorder the terms: -3(2 + -9k) + 10 = -2 + 2k (2 * -3 + -9k * -3) + 10 = -2 + 2k (-6 + 27k) + 10 = -2 + 2k Reorder the terms: -6 + 10 + 27k = -2 + 2k Combine like terms: -6 + 10 = 4 4 + 27k = -2 + 2k Solving 4 + 27k = -2 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 4 + 27k + -2k = -2 + 2k + -2k Combine like terms: 27k + -2k = 25k 4 + 25k = -2 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + 25k = -2 + 0 4 + 25k = -2 Add '-4' to each side of the equation. 4 + -4 + 25k = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 25k = -2 + -4 25k = -2 + -4 Combine like terms: -2 + -4 = -6 25k = -6 Divide each side by '25'. k = -0.24 Simplifying k = -0.24
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