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Simplifying -8(2k + -4) + -5(7 + -1k) = -4k + -8 Reorder the terms: -8(-4 + 2k) + -5(7 + -1k) = -4k + -8 (-4 * -8 + 2k * -8) + -5(7 + -1k) = -4k + -8 (32 + -16k) + -5(7 + -1k) = -4k + -8 32 + -16k + (7 * -5 + -1k * -5) = -4k + -8 32 + -16k + (-35 + 5k) = -4k + -8 Reorder the terms: 32 + -35 + -16k + 5k = -4k + -8 Combine like terms: 32 + -35 = -3 -3 + -16k + 5k = -4k + -8 Combine like terms: -16k + 5k = -11k -3 + -11k = -4k + -8 Reorder the terms: -3 + -11k = -8 + -4k Solving -3 + -11k = -8 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -3 + -11k + 4k = -8 + -4k + 4k Combine like terms: -11k + 4k = -7k -3 + -7k = -8 + -4k + 4k Combine like terms: -4k + 4k = 0 -3 + -7k = -8 + 0 -3 + -7k = -8 Add '3' to each side of the equation. -3 + 3 + -7k = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -7k = -8 + 3 -7k = -8 + 3 Combine like terms: -8 + 3 = -5 -7k = -5 Divide each side by '-7'. k = 0.7142857143 Simplifying k = 0.7142857143
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