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Simplifying -42 = 6k + -1(k + 2) Reorder the terms: -42 = 6k + -1(2 + k) -42 = 6k + (2 * -1 + k * -1) -42 = 6k + (-2 + -1k) Reorder the terms: -42 = -2 + 6k + -1k Combine like terms: 6k + -1k = 5k -42 = -2 + 5k Solving -42 = -2 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -42 + -5k = -2 + 5k + -5k Combine like terms: 5k + -5k = 0 -42 + -5k = -2 + 0 -42 + -5k = -2 Add '42' to each side of the equation. -42 + 42 + -5k = -2 + 42 Combine like terms: -42 + 42 = 0 0 + -5k = -2 + 42 -5k = -2 + 42 Combine like terms: -2 + 42 = 40 -5k = 40 Divide each side by '-5'. k = -8 Simplifying k = -8
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