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Simplifying -40 + -6k = -3(-1k + 6) + 5 Reorder the terms: -40 + -6k = -3(6 + -1k) + 5 -40 + -6k = (6 * -3 + -1k * -3) + 5 -40 + -6k = (-18 + 3k) + 5 Reorder the terms: -40 + -6k = -18 + 5 + 3k Combine like terms: -18 + 5 = -13 -40 + -6k = -13 + 3k Solving -40 + -6k = -13 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -40 + -6k + -3k = -13 + 3k + -3k Combine like terms: -6k + -3k = -9k -40 + -9k = -13 + 3k + -3k Combine like terms: 3k + -3k = 0 -40 + -9k = -13 + 0 -40 + -9k = -13 Add '40' to each side of the equation. -40 + 40 + -9k = -13 + 40 Combine like terms: -40 + 40 = 0 0 + -9k = -13 + 40 -9k = -13 + 40 Combine like terms: -13 + 40 = 27 -9k = 27 Divide each side by '-9'. k = -3 Simplifying k = -3
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