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Simplifying -2(5k + -1) = -6(k + 1) Reorder the terms: -2(-1 + 5k) = -6(k + 1) (-1 * -2 + 5k * -2) = -6(k + 1) (2 + -10k) = -6(k + 1) Reorder the terms: 2 + -10k = -6(1 + k) 2 + -10k = (1 * -6 + k * -6) 2 + -10k = (-6 + -6k) Solving 2 + -10k = -6 + -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. 2 + -10k + 6k = -6 + -6k + 6k Combine like terms: -10k + 6k = -4k 2 + -4k = -6 + -6k + 6k Combine like terms: -6k + 6k = 0 2 + -4k = -6 + 0 2 + -4k = -6 Add '-2' to each side of the equation. 2 + -2 + -4k = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -4k = -6 + -2 -4k = -6 + -2 Combine like terms: -6 + -2 = -8 -4k = -8 Divide each side by '-4'. k = 2 Simplifying k = 2
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