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Simplifying -54 = -9(8 + k) -54 = (8 * -9 + k * -9) -54 = (-72 + -9k) Solving -54 = -72 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -54 + 9k = -72 + -9k + 9k Combine like terms: -9k + 9k = 0 -54 + 9k = -72 + 0 -54 + 9k = -72 Add '54' to each side of the equation. -54 + 54 + 9k = -72 + 54 Combine like terms: -54 + 54 = 0 0 + 9k = -72 + 54 9k = -72 + 54 Combine like terms: -72 + 54 = -18 9k = -18 Divide each side by '9'. k = -2 Simplifying k = -2
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