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Simplifying 5k + 12 = 10k + -8 Reorder the terms: 12 + 5k = 10k + -8 Reorder the terms: 12 + 5k = -8 + 10k Solving 12 + 5k = -8 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 12 + 5k + -10k = -8 + 10k + -10k Combine like terms: 5k + -10k = -5k 12 + -5k = -8 + 10k + -10k Combine like terms: 10k + -10k = 0 12 + -5k = -8 + 0 12 + -5k = -8 Add '-12' to each side of the equation. 12 + -12 + -5k = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -5k = -8 + -12 -5k = -8 + -12 Combine like terms: -8 + -12 = -20 -5k = -20 Divide each side by '-5'. k = 4 Simplifying k = 4
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