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Simplifying 253 = 3 + -8(6 + -5k) 253 = 3 + (6 * -8 + -5k * -8) 253 = 3 + (-48 + 40k) Combine like terms: 3 + -48 = -45 253 = -45 + 40k Solving 253 = -45 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. 253 + -40k = -45 + 40k + -40k Combine like terms: 40k + -40k = 0 253 + -40k = -45 + 0 253 + -40k = -45 Add '-253' to each side of the equation. 253 + -253 + -40k = -45 + -253 Combine like terms: 253 + -253 = 0 0 + -40k = -45 + -253 -40k = -45 + -253 Combine like terms: -45 + -253 = -298 -40k = -298 Divide each side by '-40'. k = 7.45 Simplifying k = 7.45
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