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Simplifying -3(k + 7) + -5k + 4 = 24 Reorder the terms: -3(7 + k) + -5k + 4 = 24 (7 * -3 + k * -3) + -5k + 4 = 24 (-21 + -3k) + -5k + 4 = 24 Reorder the terms: -21 + 4 + -3k + -5k = 24 Combine like terms: -21 + 4 = -17 -17 + -3k + -5k = 24 Combine like terms: -3k + -5k = -8k -17 + -8k = 24 Solving -17 + -8k = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -8k = 24 + 17 Combine like terms: -17 + 17 = 0 0 + -8k = 24 + 17 -8k = 24 + 17 Combine like terms: 24 + 17 = 41 -8k = 41 Divide each side by '-8'. k = -5.125 Simplifying k = -5.125
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