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Simplifying 8(-5k + -4) + 7(k + 7) = -49 Reorder the terms: 8(-4 + -5k) + 7(k + 7) = -49 (-4 * 8 + -5k * 8) + 7(k + 7) = -49 (-32 + -40k) + 7(k + 7) = -49 Reorder the terms: -32 + -40k + 7(7 + k) = -49 -32 + -40k + (7 * 7 + k * 7) = -49 -32 + -40k + (49 + 7k) = -49 Reorder the terms: -32 + 49 + -40k + 7k = -49 Combine like terms: -32 + 49 = 17 17 + -40k + 7k = -49 Combine like terms: -40k + 7k = -33k 17 + -33k = -49 Solving 17 + -33k = -49 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -33k = -49 + -17 Combine like terms: 17 + -17 = 0 0 + -33k = -49 + -17 -33k = -49 + -17 Combine like terms: -49 + -17 = -66 -33k = -66 Divide each side by '-33'. k = 2 Simplifying k = 2
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