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Simplifying 15 + -2k = 5(4k + 3) + k Reorder the terms: 15 + -2k = 5(3 + 4k) + k 15 + -2k = (3 * 5 + 4k * 5) + k 15 + -2k = (15 + 20k) + k Combine like terms: 20k + k = 21k 15 + -2k = 15 + 21k Add '-15' to each side of the equation. 15 + -15 + -2k = 15 + -15 + 21k Combine like terms: 15 + -15 = 0 0 + -2k = 15 + -15 + 21k -2k = 15 + -15 + 21k Combine like terms: 15 + -15 = 0 -2k = 0 + 21k -2k = 21k Solving -2k = 21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21k' to each side of the equation. -2k + -21k = 21k + -21k Combine like terms: -2k + -21k = -23k -23k = 21k + -21k Combine like terms: 21k + -21k = 0 -23k = 0 Divide each side by '-23'. k = 0 Simplifying k = 0
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