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Simplifying 4 + 2k = -7k + -5(8 + 7k) 4 + 2k = -7k + (8 * -5 + 7k * -5) 4 + 2k = -7k + (-40 + -35k) Reorder the terms: 4 + 2k = -40 + -7k + -35k Combine like terms: -7k + -35k = -42k 4 + 2k = -40 + -42k Solving 4 + 2k = -40 + -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. 4 + 2k + 42k = -40 + -42k + 42k Combine like terms: 2k + 42k = 44k 4 + 44k = -40 + -42k + 42k Combine like terms: -42k + 42k = 0 4 + 44k = -40 + 0 4 + 44k = -40 Add '-4' to each side of the equation. 4 + -4 + 44k = -40 + -4 Combine like terms: 4 + -4 = 0 0 + 44k = -40 + -4 44k = -40 + -4 Combine like terms: -40 + -4 = -44 44k = -44 Divide each side by '44'. k = -1 Simplifying k = -1
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