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Simplifying 18k + 54 = 32k + -100 Reorder the terms: 54 + 18k = 32k + -100 Reorder the terms: 54 + 18k = -100 + 32k Solving 54 + 18k = -100 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. 54 + 18k + -32k = -100 + 32k + -32k Combine like terms: 18k + -32k = -14k 54 + -14k = -100 + 32k + -32k Combine like terms: 32k + -32k = 0 54 + -14k = -100 + 0 54 + -14k = -100 Add '-54' to each side of the equation. 54 + -54 + -14k = -100 + -54 Combine like terms: 54 + -54 = 0 0 + -14k = -100 + -54 -14k = -100 + -54 Combine like terms: -100 + -54 = -154 -14k = -154 Divide each side by '-14'. k = 11 Simplifying k = 11
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