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Simplifying 8(4k + m) = 5(k + 6) + -2 (4k * 8 + m * 8) = 5(k + 6) + -2 (32k + 8m) = 5(k + 6) + -2 Reorder the terms: 32k + 8m = 5(6 + k) + -2 32k + 8m = (6 * 5 + k * 5) + -2 32k + 8m = (30 + 5k) + -2 Reorder the terms: 32k + 8m = 30 + -2 + 5k Combine like terms: 30 + -2 = 28 32k + 8m = 28 + 5k Solving 32k + 8m = 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. 32k + -5k + 8m = 28 + 5k + -5k Combine like terms: 32k + -5k = 27k 27k + 8m = 28 + 5k + -5k Combine like terms: 5k + -5k = 0 27k + 8m = 28 + 0 27k + 8m = 28 Add '-8m' to each side of the equation. 27k + 8m + -8m = 28 + -8m Combine like terms: 8m + -8m = 0 27k + 0 = 28 + -8m 27k = 28 + -8m Divide each side by '27'. k = 1.037037037 + -0.2962962963m Simplifying k = 1.037037037 + -0.2962962963m
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