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Simplifying 8 + -4k = 8(-2k + 6) + 7k Reorder the terms: 8 + -4k = 8(6 + -2k) + 7k 8 + -4k = (6 * 8 + -2k * 8) + 7k 8 + -4k = (48 + -16k) + 7k Combine like terms: -16k + 7k = -9k 8 + -4k = 48 + -9k Solving 8 + -4k = 48 + -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. 8 + -4k + 9k = 48 + -9k + 9k Combine like terms: -4k + 9k = 5k 8 + 5k = 48 + -9k + 9k Combine like terms: -9k + 9k = 0 8 + 5k = 48 + 0 8 + 5k = 48 Add '-8' to each side of the equation. 8 + -8 + 5k = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = 48 + -8 5k = 48 + -8 Combine like terms: 48 + -8 = 40 5k = 40 Divide each side by '5'. k = 8 Simplifying k = 8
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