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Simplifying -3(k + 1) + -1(9k + -1) = -13k Reorder the terms: -3(1 + k) + -1(9k + -1) = -13k (1 * -3 + k * -3) + -1(9k + -1) = -13k (-3 + -3k) + -1(9k + -1) = -13k Reorder the terms: -3 + -3k + -1(-1 + 9k) = -13k -3 + -3k + (-1 * -1 + 9k * -1) = -13k -3 + -3k + (1 + -9k) = -13k Reorder the terms: -3 + 1 + -3k + -9k = -13k Combine like terms: -3 + 1 = -2 -2 + -3k + -9k = -13k Combine like terms: -3k + -9k = -12k -2 + -12k = -13k Solving -2 + -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. -2 + -12k + 13k = -13k + 13k Combine like terms: -12k + 13k = 1k -2 + 1k = -13k + 13k Combine like terms: -13k + 13k = 0 -2 + 1k = 0 Add '2' to each side of the equation. -2 + 2 + 1k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1k = 0 + 2 1k = 0 + 2 Combine like terms: 0 + 2 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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