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Simplifying 5k + -7 = 12k + 21 Reorder the terms: -7 + 5k = 12k + 21 Reorder the terms: -7 + 5k = 21 + 12k Solving -7 + 5k = 21 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -7 + 5k + -12k = 21 + 12k + -12k Combine like terms: 5k + -12k = -7k -7 + -7k = 21 + 12k + -12k Combine like terms: 12k + -12k = 0 -7 + -7k = 21 + 0 -7 + -7k = 21 Add '7' to each side of the equation. -7 + 7 + -7k = 21 + 7 Combine like terms: -7 + 7 = 0 0 + -7k = 21 + 7 -7k = 21 + 7 Combine like terms: 21 + 7 = 28 -7k = 28 Divide each side by '-7'. k = -4 Simplifying k = -4
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