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Simplifying 7 + -1(k + -4) = 2k + -35 Reorder the terms: 7 + -1(-4 + k) = 2k + -35 7 + (-4 * -1 + k * -1) = 2k + -35 7 + (4 + -1k) = 2k + -35 Combine like terms: 7 + 4 = 11 11 + -1k = 2k + -35 Reorder the terms: 11 + -1k = -35 + 2k Solving 11 + -1k = -35 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 11 + -1k + -2k = -35 + 2k + -2k Combine like terms: -1k + -2k = -3k 11 + -3k = -35 + 2k + -2k Combine like terms: 2k + -2k = 0 11 + -3k = -35 + 0 11 + -3k = -35 Add '-11' to each side of the equation. 11 + -11 + -3k = -35 + -11 Combine like terms: 11 + -11 = 0 0 + -3k = -35 + -11 -3k = -35 + -11 Combine like terms: -35 + -11 = -46 -3k = -46 Divide each side by '-3'. k = 15.33333333 Simplifying k = 15.33333333
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