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Simplifying 8 + -1(4k + m) = 5(k + 6) + -2 8 + (4k * -1 + m * -1) = 5(k + 6) + -2 8 + (-4k + -1m) = 5(k + 6) + -2 Reorder the terms: 8 + -4k + -1m = 5(6 + k) + -2 8 + -4k + -1m = (6 * 5 + k * 5) + -2 8 + -4k + -1m = (30 + 5k) + -2 Reorder the terms: 8 + -4k + -1m = 30 + -2 + 5k Combine like terms: 30 + -2 = 28 8 + -4k + -1m = 28 + 5k Solving 8 + -4k + -1m = 28 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 8 + -4k + -5k + -1m = 28 + 5k + -5k Combine like terms: -4k + -5k = -9k 8 + -9k + -1m = 28 + 5k + -5k Combine like terms: 5k + -5k = 0 8 + -9k + -1m = 28 + 0 8 + -9k + -1m = 28 Add '-8' to each side of the equation. 8 + -9k + -8 + -1m = 28 + -8 Reorder the terms: 8 + -8 + -9k + -1m = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -9k + -1m = 28 + -8 -9k + -1m = 28 + -8 Combine like terms: 28 + -8 = 20 -9k + -1m = 20 Add 'm' to each side of the equation. -9k + -1m + m = 20 + m Combine like terms: -1m + m = 0 -9k + 0 = 20 + m -9k = 20 + m Divide each side by '-9'. k = -2.222222222 + -0.1111111111m Simplifying k = -2.222222222 + -0.1111111111m
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