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Simplifying -40 + 7k = 6(5 + 7k) -40 + 7k = (5 * 6 + 7k * 6) -40 + 7k = (30 + 42k) Solving -40 + 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. -40 + 7k + -42k = 30 + 42k + -42k Combine like terms: 7k + -42k = -35k -40 + -35k = 30 + 42k + -42k Combine like terms: 42k + -42k = 0 -40 + -35k = 30 + 0 -40 + -35k = 30 Add '40' to each side of the equation. -40 + 40 + -35k = 30 + 40 Combine like terms: -40 + 40 = 0 0 + -35k = 30 + 40 -35k = 30 + 40 Combine like terms: 30 + 40 = 70 -35k = 70 Divide each side by '-35'. k = -2 Simplifying k = -2
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