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Simplifying 20 + 5k + -19k = -20 + -12k Combine like terms: 5k + -19k = -14k 20 + -14k = -20 + -12k Solving 20 + -14k = -20 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 20 + -14k + 12k = -20 + -12k + 12k Combine like terms: -14k + 12k = -2k 20 + -2k = -20 + -12k + 12k Combine like terms: -12k + 12k = 0 20 + -2k = -20 + 0 20 + -2k = -20 Add '-20' to each side of the equation. 20 + -20 + -2k = -20 + -20 Combine like terms: 20 + -20 = 0 0 + -2k = -20 + -20 -2k = -20 + -20 Combine like terms: -20 + -20 = -40 -2k = -40 Divide each side by '-2'. k = 20 Simplifying k = 20
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