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Simplifying -155 = -5 + 6(5 + 5k) -155 = -5 + (5 * 6 + 5k * 6) -155 = -5 + (30 + 30k) Combine like terms: -5 + 30 = 25 -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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