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Simplifying -155 = -5(-5 + 6k) -155 = (-5 * -5 + 6k * -5) -155 = (25 + -30k) Solving -155 = 25 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. -155 + 30k = 25 + -30k + 30k Combine like terms: -30k + 30k = 0 -155 + 30k = 25 + 0 -155 + 30k = 25 Add '155' to each side of the equation. -155 + 155 + 30k = 25 + 155 Combine like terms: -155 + 155 = 0 0 + 30k = 25 + 155 30k = 25 + 155 Combine like terms: 25 + 155 = 180 30k = 180 Divide each side by '30'. k = 6 Simplifying k = 6
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