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Simplifying 4 + 12m + -4(7k + 8) = 0 Reorder the terms: 4 + 12m + -4(8 + 7k) = 0 4 + 12m + (8 * -4 + 7k * -4) = 0 4 + 12m + (-32 + -28k) = 0 Reorder the terms: 4 + -32 + -28k + 12m = 0 Combine like terms: 4 + -32 = -28 -28 + -28k + 12m = 0 Solving -28 + -28k + 12m = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + -28k + 28 + 12m = 0 + 28 Reorder the terms: -28 + 28 + -28k + 12m = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -28k + 12m = 0 + 28 -28k + 12m = 0 + 28 Combine like terms: 0 + 28 = 28 -28k + 12m = 28 Add '-12m' to each side of the equation. -28k + 12m + -12m = 28 + -12m Combine like terms: 12m + -12m = 0 -28k + 0 = 28 + -12m -28k = 28 + -12m Divide each side by '-28'. k = -1 + 0.4285714286m Simplifying k = -1 + 0.4285714286m
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