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