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Simplifying 253 = -2 + -5(7k + 5) Reorder the terms: 253 = -2 + -5(5 + 7k) 253 = -2 + (5 * -5 + 7k * -5) 253 = -2 + (-25 + -35k) Combine like terms: -2 + -25 = -27 253 = -27 + -35k Solving 253 = -27 + -35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35k' to each side of the equation. 253 + 35k = -27 + -35k + 35k Combine like terms: -35k + 35k = 0 253 + 35k = -27 + 0 253 + 35k = -27 Add '-253' to each side of the equation. 253 + -253 + 35k = -27 + -253 Combine like terms: 253 + -253 = 0 0 + 35k = -27 + -253 35k = -27 + -253 Combine like terms: -27 + -253 = -280 35k = -280 Divide each side by '35'. k = -8 Simplifying k = -8
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