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Simplifying -4k + -5(5k + 2) = -155 Reorder the terms: -4k + -5(2 + 5k) = -155 -4k + (2 * -5 + 5k * -5) = -155 -4k + (-10 + -25k) = -155 Reorder the terms: -10 + -4k + -25k = -155 Combine like terms: -4k + -25k = -29k -10 + -29k = -155 Solving -10 + -29k = -155 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -29k = -155 + 10 Combine like terms: -10 + 10 = 0 0 + -29k = -155 + 10 -29k = -155 + 10 Combine like terms: -155 + 10 = -145 -29k = -145 Divide each side by '-29'. k = 5 Simplifying k = 5
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