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Simplifying 20 + -2k = 4(3k + 5) Reorder the terms: 20 + -2k = 4(5 + 3k) 20 + -2k = (5 * 4 + 3k * 4) 20 + -2k = (20 + 12k) Add '-20' to each side of the equation. 20 + -20 + -2k = 20 + -20 + 12k Combine like terms: 20 + -20 = 0 0 + -2k = 20 + -20 + 12k -2k = 20 + -20 + 12k Combine like terms: 20 + -20 = 0 -2k = 0 + 12k -2k = 12k Solving -2k = 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. -2k + -12k = 12k + -12k Combine like terms: -2k + -12k = -14k -14k = 12k + -12k Combine like terms: 12k + -12k = 0 -14k = 0 Divide each side by '-14'. k = 0 Simplifying k = 0
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