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Simplifying -7(k + 5) + -1(8k + -4) = -16k Reorder the terms: -7(5 + k) + -1(8k + -4) = -16k (5 * -7 + k * -7) + -1(8k + -4) = -16k (-35 + -7k) + -1(8k + -4) = -16k Reorder the terms: -35 + -7k + -1(-4 + 8k) = -16k -35 + -7k + (-4 * -1 + 8k * -1) = -16k -35 + -7k + (4 + -8k) = -16k Reorder the terms: -35 + 4 + -7k + -8k = -16k Combine like terms: -35 + 4 = -31 -31 + -7k + -8k = -16k Combine like terms: -7k + -8k = -15k -31 + -15k = -16k Solving -31 + -15k = -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. -31 + -15k + 16k = -16k + 16k Combine like terms: -15k + 16k = 1k -31 + 1k = -16k + 16k Combine like terms: -16k + 16k = 0 -31 + 1k = 0 Add '31' to each side of the equation. -31 + 31 + 1k = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1k = 0 + 31 1k = 0 + 31 Combine like terms: 0 + 31 = 31 1k = 31 Divide each side by '1'. k = 31 Simplifying k = 31
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