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Simplifying 4k + -12 = 10k + 5 Reorder the terms: -12 + 4k = 10k + 5 Reorder the terms: -12 + 4k = 5 + 10k Solving -12 + 4k = 5 + 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 + 4k + -10k = 5 + 10k + -10k Combine like terms: 4k + -10k = -6k -12 + -6k = 5 + 10k + -10k Combine like terms: 10k + -10k = 0 -12 + -6k = 5 + 0 -12 + -6k = 5 Add '12' to each side of the equation. -12 + 12 + -6k = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -6k = 5 + 12 -6k = 5 + 12 Combine like terms: 5 + 12 = 17 -6k = 17 Divide each side by '-6'. k = -2.833333333 Simplifying k = -2.833333333
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