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Simplifying -5k(2 + 7) = 3k + 24 Combine like terms: 2 + 7 = 9 -5k(9) = 3k + 24 Reorder the terms for easier multiplication: -5 * 9k = 3k + 24 Multiply -5 * 9 -45k = 3k + 24 Reorder the terms: -45k = 24 + 3k Solving -45k = 24 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -45k + -3k = 24 + 3k + -3k Combine like terms: -45k + -3k = -48k -48k = 24 + 3k + -3k Combine like terms: 3k + -3k = 0 -48k = 24 + 0 -48k = 24 Divide each side by '-48'. k = -0.5 Simplifying k = -0.5
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