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Simplifying 4k + -12 = 5k + 51 Reorder the terms: -12 + 4k = 5k + 51 Reorder the terms: -12 + 4k = 51 + 5k Solving -12 + 4k = 51 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -12 + 4k + -5k = 51 + 5k + -5k Combine like terms: 4k + -5k = -1k -12 + -1k = 51 + 5k + -5k Combine like terms: 5k + -5k = 0 -12 + -1k = 51 + 0 -12 + -1k = 51 Add '12' to each side of the equation. -12 + 12 + -1k = 51 + 12 Combine like terms: -12 + 12 = 0 0 + -1k = 51 + 12 -1k = 51 + 12 Combine like terms: 51 + 12 = 63 -1k = 63 Divide each side by '-1'. k = -63 Simplifying k = -63
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