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Simplifying -5k + 25 = 1 + -6(6k + -4) Reorder the terms: 25 + -5k = 1 + -6(6k + -4) Reorder the terms: 25 + -5k = 1 + -6(-4 + 6k) 25 + -5k = 1 + (-4 * -6 + 6k * -6) 25 + -5k = 1 + (24 + -36k) Combine like terms: 1 + 24 = 25 25 + -5k = 25 + -36k Add '-25' to each side of the equation. 25 + -25 + -5k = 25 + -25 + -36k Combine like terms: 25 + -25 = 0 0 + -5k = 25 + -25 + -36k -5k = 25 + -25 + -36k Combine like terms: 25 + -25 = 0 -5k = 0 + -36k -5k = -36k Solving -5k = -36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36k' to each side of the equation. -5k + 36k = -36k + 36k Combine like terms: -5k + 36k = 31k 31k = -36k + 36k Combine like terms: -36k + 36k = 0 31k = 0 Divide each side by '31'. k = 0 Simplifying k = 0
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