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Simplifying 1 + -5k + -2 + -12 = -4k + -5 Reorder the terms: 1 + -2 + -12 + -5k = -4k + -5 Combine like terms: 1 + -2 = -1 -1 + -12 + -5k = -4k + -5 Combine like terms: -1 + -12 = -13 -13 + -5k = -4k + -5 Reorder the terms: -13 + -5k = -5 + -4k Solving -13 + -5k = -5 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -13 + -5k + 4k = -5 + -4k + 4k Combine like terms: -5k + 4k = -1k -13 + -1k = -5 + -4k + 4k Combine like terms: -4k + 4k = 0 -13 + -1k = -5 + 0 -13 + -1k = -5 Add '13' to each side of the equation. -13 + 13 + -1k = -5 + 13 Combine like terms: -13 + 13 = 0 0 + -1k = -5 + 13 -1k = -5 + 13 Combine like terms: -5 + 13 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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