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Simplifying -7(8 + 3k) + -5 = -124 (8 * -7 + 3k * -7) + -5 = -124 (-56 + -21k) + -5 = -124 Reorder the terms: -56 + -5 + -21k = -124 Combine like terms: -56 + -5 = -61 -61 + -21k = -124 Solving -61 + -21k = -124 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + -21k = -124 + 61 Combine like terms: -61 + 61 = 0 0 + -21k = -124 + 61 -21k = -124 + 61 Combine like terms: -124 + 61 = -63 -21k = -63 Divide each side by '-21'. k = 3 Simplifying k = 3
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