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Simplifying 259 = -5 + -6(1 + -9k) 259 = -5 + (1 * -6 + -9k * -6) 259 = -5 + (-6 + 54k) Combine like terms: -5 + -6 = -11 259 = -11 + 54k Solving 259 = -11 + 54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-54k' to each side of the equation. 259 + -54k = -11 + 54k + -54k Combine like terms: 54k + -54k = 0 259 + -54k = -11 + 0 259 + -54k = -11 Add '-259' to each side of the equation. 259 + -259 + -54k = -11 + -259 Combine like terms: 259 + -259 = 0 0 + -54k = -11 + -259 -54k = -11 + -259 Combine like terms: -11 + -259 = -270 -54k = -270 Divide each side by '-54'. k = 5 Simplifying k = 5
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