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Simplifying 5(-6k + -3) = 21 + 6k Reorder the terms: 5(-3 + -6k) = 21 + 6k (-3 * 5 + -6k * 5) = 21 + 6k (-15 + -30k) = 21 + 6k Solving -15 + -30k = 21 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -15 + -30k + -6k = 21 + 6k + -6k Combine like terms: -30k + -6k = -36k -15 + -36k = 21 + 6k + -6k Combine like terms: 6k + -6k = 0 -15 + -36k = 21 + 0 -15 + -36k = 21 Add '15' to each side of the equation. -15 + 15 + -36k = 21 + 15 Combine like terms: -15 + 15 = 0 0 + -36k = 21 + 15 -36k = 21 + 15 Combine like terms: 21 + 15 = 36 -36k = 36 Divide each side by '-36'. k = -1 Simplifying k = -1
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