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Simplifying 5 + 8(3m + -4) + 12k + -12m = 0 Reorder the terms: 5 + 8(-4 + 3m) + 12k + -12m = 0 5 + (-4 * 8 + 3m * 8) + 12k + -12m = 0 5 + (-32 + 24m) + 12k + -12m = 0 Reorder the terms: 5 + -32 + 12k + 24m + -12m = 0 Combine like terms: 5 + -32 = -27 -27 + 12k + 24m + -12m = 0 Combine like terms: 24m + -12m = 12m -27 + 12k + 12m = 0 Solving -27 + 12k + 12m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 12k + 27 + 12m = 0 + 27 Reorder the terms: -27 + 27 + 12k + 12m = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 12k + 12m = 0 + 27 12k + 12m = 0 + 27 Combine like terms: 0 + 27 = 27 12k + 12m = 27 Add '-12m' to each side of the equation. 12k + 12m + -12m = 27 + -12m Combine like terms: 12m + -12m = 0 12k + 0 = 27 + -12m 12k = 27 + -12m Divide each side by '12'. k = 2.25 + -1m Simplifying k = 2.25 + -1m
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