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Simplifying -12 + -19k = -15k + 7 + 13 Reorder the terms: -12 + -19k = 7 + 13 + -15k Combine like terms: 7 + 13 = 20 -12 + -19k = 20 + -15k Solving -12 + -19k = 20 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -12 + -19k + 15k = 20 + -15k + 15k Combine like terms: -19k + 15k = -4k -12 + -4k = 20 + -15k + 15k Combine like terms: -15k + 15k = 0 -12 + -4k = 20 + 0 -12 + -4k = 20 Add '12' to each side of the equation. -12 + 12 + -4k = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -4k = 20 + 12 -4k = 20 + 12 Combine like terms: 20 + 12 = 32 -4k = 32 Divide each side by '-4'. k = -8 Simplifying k = -8
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