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