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Simplifying -5k + -2(2k + -4) = -6k + 1 Reorder the terms: -5k + -2(-4 + 2k) = -6k + 1 -5k + (-4 * -2 + 2k * -2) = -6k + 1 -5k + (8 + -4k) = -6k + 1 Reorder the terms: 8 + -5k + -4k = -6k + 1 Combine like terms: -5k + -4k = -9k 8 + -9k = -6k + 1 Reorder the terms: 8 + -9k = 1 + -6k Solving 8 + -9k = 1 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 8 + -9k + 6k = 1 + -6k + 6k Combine like terms: -9k + 6k = -3k 8 + -3k = 1 + -6k + 6k Combine like terms: -6k + 6k = 0 8 + -3k = 1 + 0 8 + -3k = 1 Add '-8' to each side of the equation. 8 + -8 + -3k = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -3k = 1 + -8 -3k = 1 + -8 Combine like terms: 1 + -8 = -7 -3k = -7 Divide each side by '-3'. k = 2.333333333 Simplifying k = 2.333333333
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