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Simplifying -8(8 + -5k) + -3(1 + -2k) = 25 (8 * -8 + -5k * -8) + -3(1 + -2k) = 25 (-64 + 40k) + -3(1 + -2k) = 25 -64 + 40k + (1 * -3 + -2k * -3) = 25 -64 + 40k + (-3 + 6k) = 25 Reorder the terms: -64 + -3 + 40k + 6k = 25 Combine like terms: -64 + -3 = -67 -67 + 40k + 6k = 25 Combine like terms: 40k + 6k = 46k -67 + 46k = 25 Solving -67 + 46k = 25 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '67' to each side of the equation. -67 + 67 + 46k = 25 + 67 Combine like terms: -67 + 67 = 0 0 + 46k = 25 + 67 46k = 25 + 67 Combine like terms: 25 + 67 = 92 46k = 92 Divide each side by '46'. k = 2 Simplifying k = 2
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