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Simplifying -24 = 8(k + -9) Reorder the terms: -24 = 8(-9 + k) -24 = (-9 * 8 + k * 8) -24 = (-72 + 8k) Solving -24 = -72 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -24 + -8k = -72 + 8k + -8k Combine like terms: 8k + -8k = 0 -24 + -8k = -72 + 0 -24 + -8k = -72 Add '24' to each side of the equation. -24 + 24 + -8k = -72 + 24 Combine like terms: -24 + 24 = 0 0 + -8k = -72 + 24 -8k = -72 + 24 Combine like terms: -72 + 24 = -48 -8k = -48 Divide each side by '-8'. k = 6 Simplifying k = 6
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