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Simplifying -5 + -7k = -6(7k + -5) Reorder the terms: -5 + -7k = -6(-5 + 7k) -5 + -7k = (-5 * -6 + 7k * -6) -5 + -7k = (30 + -42k) Solving -5 + -7k = 30 + -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. -5 + -7k + 42k = 30 + -42k + 42k Combine like terms: -7k + 42k = 35k -5 + 35k = 30 + -42k + 42k Combine like terms: -42k + 42k = 0 -5 + 35k = 30 + 0 -5 + 35k = 30 Add '5' to each side of the equation. -5 + 5 + 35k = 30 + 5 Combine like terms: -5 + 5 = 0 0 + 35k = 30 + 5 35k = 30 + 5 Combine like terms: 30 + 5 = 35 35k = 35 Divide each side by '35'. k = 1 Simplifying k = 1
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