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Simplifying 25 + -1(4k + 8) = 4(k + 1) + 5k Reorder the terms: 25 + -1(8 + 4k) = 4(k + 1) + 5k 25 + (8 * -1 + 4k * -1) = 4(k + 1) + 5k 25 + (-8 + -4k) = 4(k + 1) + 5k Combine like terms: 25 + -8 = 17 17 + -4k = 4(k + 1) + 5k Reorder the terms: 17 + -4k = 4(1 + k) + 5k 17 + -4k = (1 * 4 + k * 4) + 5k 17 + -4k = (4 + 4k) + 5k Combine like terms: 4k + 5k = 9k 17 + -4k = 4 + 9k Solving 17 + -4k = 4 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 17 + -4k + -9k = 4 + 9k + -9k Combine like terms: -4k + -9k = -13k 17 + -13k = 4 + 9k + -9k Combine like terms: 9k + -9k = 0 17 + -13k = 4 + 0 17 + -13k = 4 Add '-17' to each side of the equation. 17 + -17 + -13k = 4 + -17 Combine like terms: 17 + -17 = 0 0 + -13k = 4 + -17 -13k = 4 + -17 Combine like terms: 4 + -17 = -13 -13k = -13 Divide each side by '-13'. k = 1 Simplifying k = 1
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