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Simplifying 4(2k + 6) + -23k = 54 Reorder the terms: 4(6 + 2k) + -23k = 54 (6 * 4 + 2k * 4) + -23k = 54 (24 + 8k) + -23k = 54 Combine like terms: 8k + -23k = -15k 24 + -15k = 54 Solving 24 + -15k = 54 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -15k = 54 + -24 Combine like terms: 24 + -24 = 0 0 + -15k = 54 + -24 -15k = 54 + -24 Combine like terms: 54 + -24 = 30 -15k = 30 Divide each side by '-15'. k = -2 Simplifying k = -2
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