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Simplifying 8 + -7k = -4(k + 1) Reorder the terms: 8 + -7k = -4(1 + k) 8 + -7k = (1 * -4 + k * -4) 8 + -7k = (-4 + -4k) Solving 8 + -7k = -4 + -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. 8 + -7k + 4k = -4 + -4k + 4k Combine like terms: -7k + 4k = -3k 8 + -3k = -4 + -4k + 4k Combine like terms: -4k + 4k = 0 8 + -3k = -4 + 0 8 + -3k = -4 Add '-8' to each side of the equation. 8 + -8 + -3k = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3k = -4 + -8 -3k = -4 + -8 Combine like terms: -4 + -8 = -12 -3k = -12 Divide each side by '-3'. k = 4 Simplifying k = 4
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