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Simplifying 4 + -7(k + 5) = -8(4 + k) + -8 Reorder the terms: 4 + -7(5 + k) = -8(4 + k) + -8 4 + (5 * -7 + k * -7) = -8(4 + k) + -8 4 + (-35 + -7k) = -8(4 + k) + -8 Combine like terms: 4 + -35 = -31 -31 + -7k = -8(4 + k) + -8 -31 + -7k = (4 * -8 + k * -8) + -8 -31 + -7k = (-32 + -8k) + -8 Reorder the terms: -31 + -7k = -32 + -8 + -8k Combine like terms: -32 + -8 = -40 -31 + -7k = -40 + -8k Solving -31 + -7k = -40 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -31 + -7k + 8k = -40 + -8k + 8k Combine like terms: -7k + 8k = 1k -31 + 1k = -40 + -8k + 8k Combine like terms: -8k + 8k = 0 -31 + 1k = -40 + 0 -31 + 1k = -40 Add '31' to each side of the equation. -31 + 31 + 1k = -40 + 31 Combine like terms: -31 + 31 = 0 0 + 1k = -40 + 31 1k = -40 + 31 Combine like terms: -40 + 31 = -9 1k = -9 Divide each side by '1'. k = -9 Simplifying k = -9
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