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Simplifying 2 + -1(7 + k) = -1(1 + -3k) 2 + (7 * -1 + k * -1) = -1(1 + -3k) 2 + (-7 + -1k) = -1(1 + -3k) Combine like terms: 2 + -7 = -5 -5 + -1k = -1(1 + -3k) -5 + -1k = (1 * -1 + -3k * -1) -5 + -1k = (-1 + 3k) Solving -5 + -1k = -1 + 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. -5 + -1k + -3k = -1 + 3k + -3k Combine like terms: -1k + -3k = -4k -5 + -4k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 -5 + -4k = -1 + 0 -5 + -4k = -1 Add '5' to each side of the equation. -5 + 5 + -4k = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -4k = -1 + 5 -4k = -1 + 5 Combine like terms: -1 + 5 = 4 -4k = 4 Divide each side by '-4'. k = -1 Simplifying k = -1
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