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Simplifying -8(5k + 8) + -7k = 0 Reorder the terms: -8(8 + 5k) + -7k = 0 (8 * -8 + 5k * -8) + -7k = 0 (-64 + -40k) + -7k = 0 Combine like terms: -40k + -7k = -47k -64 + -47k = 0 Solving -64 + -47k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -47k = 0 + 64 Combine like terms: -64 + 64 = 0 0 + -47k = 0 + 64 -47k = 0 + 64 Combine like terms: 0 + 64 = 64 -47k = 64 Divide each side by '-47'. k = -1.361702128 Simplifying k = -1.361702128
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