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Simplifying -2k + -9(5k + -2) = -2 Reorder the terms: -2k + -9(-2 + 5k) = -2 -2k + (-2 * -9 + 5k * -9) = -2 -2k + (18 + -45k) = -2 Reorder the terms: 18 + -2k + -45k = -2 Combine like terms: -2k + -45k = -47k 18 + -47k = -2 Solving 18 + -47k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -47k = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -47k = -2 + -18 -47k = -2 + -18 Combine like terms: -2 + -18 = -20 -47k = -20 Divide each side by '-47'. k = 0.4255319149 Simplifying k = 0.4255319149
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