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Simplifying -7(7k + 7) + 8 = 253 Reorder the terms: -7(7 + 7k) + 8 = 253 (7 * -7 + 7k * -7) + 8 = 253 (-49 + -49k) + 8 = 253 Reorder the terms: -49 + 8 + -49k = 253 Combine like terms: -49 + 8 = -41 -41 + -49k = 253 Solving -41 + -49k = 253 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -49k = 253 + 41 Combine like terms: -41 + 41 = 0 0 + -49k = 253 + 41 -49k = 253 + 41 Combine like terms: 253 + 41 = 294 -49k = 294 Divide each side by '-49'. k = -6 Simplifying k = -6
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