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Simplifying -4(k + 1) + -1(8k + -7) = -13k Reorder the terms: -4(1 + k) + -1(8k + -7) = -13k (1 * -4 + k * -4) + -1(8k + -7) = -13k (-4 + -4k) + -1(8k + -7) = -13k Reorder the terms: -4 + -4k + -1(-7 + 8k) = -13k -4 + -4k + (-7 * -1 + 8k * -1) = -13k -4 + -4k + (7 + -8k) = -13k Reorder the terms: -4 + 7 + -4k + -8k = -13k Combine like terms: -4 + 7 = 3 3 + -4k + -8k = -13k Combine like terms: -4k + -8k = -12k 3 + -12k = -13k Solving 3 + -12k = -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. 3 + -12k + 13k = -13k + 13k Combine like terms: -12k + 13k = 1k 3 + 1k = -13k + 13k Combine like terms: -13k + 13k = 0 3 + 1k = 0 Add '-3' to each side of the equation. 3 + -3 + 1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1k = 0 + -3 1k = 0 + -3 Combine like terms: 0 + -3 = -3 1k = -3 Divide each side by '1'. k = -3 Simplifying k = -3
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