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Simplifying 8k + -25 = 4k + 3(1 + 6k) Reorder the terms: -25 + 8k = 4k + 3(1 + 6k) -25 + 8k = 4k + (1 * 3 + 6k * 3) -25 + 8k = 4k + (3 + 18k) Reorder the terms: -25 + 8k = 3 + 4k + 18k Combine like terms: 4k + 18k = 22k -25 + 8k = 3 + 22k Solving -25 + 8k = 3 + 22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22k' to each side of the equation. -25 + 8k + -22k = 3 + 22k + -22k Combine like terms: 8k + -22k = -14k -25 + -14k = 3 + 22k + -22k Combine like terms: 22k + -22k = 0 -25 + -14k = 3 + 0 -25 + -14k = 3 Add '25' to each side of the equation. -25 + 25 + -14k = 3 + 25 Combine like terms: -25 + 25 = 0 0 + -14k = 3 + 25 -14k = 3 + 25 Combine like terms: 3 + 25 = 28 -14k = 28 Divide each side by '-14'. k = -2 Simplifying k = -2
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